Topology and Its Applications

Article	Citations
Tangent developables and Darboux developables of framed curves	30
On topological Rudin's lemma, well-filtered spaces and sober spaces	20
On T0 spaces determined by well-filtered spaces	20
Topological chain and shadowing properties of dynamical systems on uniform spaces	15
Set-Menger and related properties	13
First countability, ω-well-filtered spaces and reflections	13
Multi-transitivity in non-autonomous discrete systems	12
On H-sober spaces and H-sobrifications of T0 spaces	12
A direct approach to K-reflections of T0 spaces	11
Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(3, 1)	11
Well-filterifications of topological spaces	11
Homogeneous subspaces of products of extremally disconnected spaces	10
Complex of n-categories and derivations in group algebras	10
Locally upper bounded poset-valued maps and stratifiable spaces	10
Remarks on set-Menger and related properties	9
On two problems about sobriety of topological spaces	8
On metrizability and compactness of certain products without the Axiom of Choice	8
Some properties defined by relative versions of star-covering properties	8
On selectively star-ccc spaces	8
Metrizable and weakly metrizable coset spaces	7
Some open problems on well-filtered spaces and sober spaces	7
On the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theorem	7
Compact bilinear operators on asymmetric normed spaces	7
OnM-factorizable topological groups	7
Menger and Menger-type star selection principles for hit-and-miss topology	7

Cardinal invariants of coset spaces	7
On feebly compact paratopological groups	6
A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric	6
Embedding topological spaces into Hausdorff κ-bounded spaces	6
Kantorovich-Rubinstein quasi-metrics I: Spaces of measures and of continuous valuations	6
Cellularity of infinite Hausdorff spaces in ZF	6
Jordan surface theorem for simple closed SST-surfaces	6
Selectors for sequences of subsets of hyperspaces	6
A generalization of Gelfand-Naimark-Stone duality to completely regular spaces	6
A study of selectively star-ccc spaces	5
Applications of Scott-closed sets in convex structures	5
On the lattice of z-ideals of a commutative ring	5
On an extension of a theorem of Eilenberg and a characterization of topological connectedness	5
The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite	5
First-countability, ω-Rudin spaces and well-filtered determined spaces	5
Rothberger and Rothberger-type star selection principles on hyperspaces	5
Coincidence of the upper Vietoris topology and the Scott topology	5
A study of a new dimension for frames	5
Generalized torsion and Dehn filling	5
Random simplicial complexes in the medial regime	5
The “hit” problem of five variables in the generic degree and its application	5
Multi-switches and virtual knot invariants	5
Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality ℵ0	5
The R∞-property for right-angled Artin groups	5
Was Ulam right? I: Basic theory and subnormal ideals	5
Enriched topologies and topological representation of semi-unital and semi-integral quantales	5
Coincidence results and Leray–Schauder alternatives between multivalued maps with continuous selections and admissible maps	5
Gelfand-Naimark-Stone duality for normal spaces and insertion theorems	5
Dual selection games	5
On Loeb and sequential spaces in ZF	5
Increasing sequence of topologies on the set of positive integers	4
Some applications of the theory of Katětov order to ideal convergence	4
A note on paratopological groups with an ω-base	4
The centre and the depth of the centre for continuous maps on dendrites with unique branch point	4
Symmetrically connected and antisymmetrically connected T0-quasi-metric extensions	4
The saturated prefilter monad	4
Deformations of functions on surfaces by isotopic to the identity diffeomorphisms	4
Completing simple valuations in -categories	4
Cohomology rings of the real and oriented partial flag manifolds	4
Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness	4
On relative category and Morse decompositions for infinite-dimensional dynamical systems	4
Semi-separation axioms of the infinite Khalimsky topological sphere	4
Conceptual proofs of the Menger and Rothberger games	4
Core-compactness, consonance and the Smyth powerspaces	4
Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros	4
Lifting classes for the fixed point theory of n-valued maps	4
Generating functions and topological complexity	4
On some kinds of weakly sober spaces	4
Embedding of locally compact Hausdorff topological gyrogroups in topological groups	4
Triple-crossing number, the genus of a knot or link and torus knots	4

On hereditary properties of extremally disconnected frames and normal frames	4
Submetrizability and first-countability of coset spaces	4
Disjoint dynamics of weighted translations on solid spaces	4
Sliceness of alternating pretzel knots and links	4
Digital topological rough set structures and topological operators	4
Ascoli and sequentially Ascoli spaces	4
The topological structure of the set of fuzzy numbers with L metric	4
Equi-Baire one family of functions on metric spaces: A generalization of equi-continuity; and some applications	4
On the topological complexity of maps	4
Characterizations of relativized distal points of topological dynamical systems	4
Some independence results about compact metrizable spaces and two notions of finiteness	4
Symmetric products of Erdős space and complete Erdős space	4
On almost sober spaces	3
A metric space with its transfinite asymptotic dimension ω + 1	3
Selection games and the Vietoris space	3
On spaces continuously containing topological groups	3
Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric	3
Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology	3
A strong fixed point theorem	3
Uniformities on strongly topological gyrogroups	3
The hit problem for the polynomial algebra in some weight vectors	3
The Golomb topology on a Dedekind domain and the group of units of its quotients	3
Skein theoretic approach to Yang-Baxter homology	3
Splitting Tychonoff cubes into homeomorphic and homogeneous parts	3
Some further results on the cancellation law for partially ordered sets and T0-spaces	3
Approximation by pointwise bounded sets of continuous functions	3
The range of ultrametrics, compactness, and separability	3
Uniform equicontinuity and groups of homeomorphisms	3
Two topologies on the lattice of Scott closed subsets	3
HOMFLYPT skein sub-modules of the lens spaces L(p,1)	3
Scattered compact sets in continuous images of Čech-complete spaces	3
Twisted conjugacy in fundamental groups of geometric 3-manifolds	3
Topological transitivity in quasi-continuous dynamical systems	3
Cardinal invariants in the quotient spaces of weakly topological groups	3
Simple homotopy theory and nerve theorem for categories	3
New families of stable simplicial filtration functors	3
On some kinds of ω-balancedness in semitopological groups	3
An elementary proof of Euler's formula using Cauchy's method	3
Čech closure spaces: A unified framework for discrete and continuous homotopy	3
The Kirch space is topologically rigid	3
Fixed point free actions of spheres and equivariant maps	3
Some topological properties of spaces of Lipschitz continuous maps on quasi-metric spaces	3
Certain aspects of ideal convergence in topological spaces	3
Continuously triangulating the continuous cluster category	3
The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups	3
Kantorovich-Rubinstein quasi-metrics II: Hyperspaces and powerdomains	3
How nice are free completions of categories?	3
A countably compact topological group with the non-countably pracompact square	3
On actions of spaces continuously containing topological groups	3
Baire category properties of some Baire type function spaces	3
On the Alexander polynomial of lens space knots	3
On the uniqueness of the n-fold pseudo-hyperspace suspension for locally connected continua	3
Star versions of the Rothberger property on hyperspaces	3
Factoring continuous mappings defined on subspaces of topological products	3
Investigation of flash crash via topological data analysis	3
Saturated and linear isometric transfer systems for cyclic groups of order pq	3
On function spaces related to d-spaces	3
APD profiles and transfinite asymptotic dimension	3
Dynamic properties for the induced maps on n-fold symmetric product suspensions II	3
On the free set number of topological spaces and their G-modifications	3
Quasitopological groups, covering properties and cardinal inequalities	3
Fragmentability of open sets and topological games	3
Dynamics near an idempotent	3
Productivity of cellular-Lindelöf spaces	3
Using rational homology circles to construct rational homology balls	3
Combined zigzag structures in dynamical IP⁎ sets	3
Quotient with respect to admissible L-subgyrogroups	2
Some decomposable continua and Whitney levels of their hyperspaces	2
Some pseudocompact-like properties in certain topological groups	2
A note on (strongly) topological gyrogroups	2
Compactifications and reflections of partial spaces via partial frames	2
Extension of mappings from the product of pseudocompact spaces	2
Convolution coarse structures	2
Inverse limits with set-valued functions having graphs that are arcs	2
k-primal spaces	2
On some properties of perfect images of GO-spaces and generalized trees	2
Difference hierarchies and duality with an application to formal languages	2
Fréchet-like properties and almost disjoint families	2
A partial order on multibranched surfaces in 3-manifolds	2
Extending free actions of finite groups on surfaces	2

On paratopological gyrogroups	2
Functions on products of pseudocompact spaces	2
Property A for coarse spaces	2
Order and uo-convergence in spaces of continuous functions	2
Abstract topological dynamics involving set-valued functions	2
Topological groups without infinite precompact continuous homomorphic images	2
The ω-limit function on dendrites	2
GKM theory for orbifold stratified spaces and application to singular toric varieties	2
Generalized metrizable properties and cardinal invariants in quotient spaces of quasitopological groups	2
On closed non-vanishing ideals in C(X) I; Connectedness properties	2
On strongly Čech-complete spaces	2
Extensions of dualities and a new approach to the Fedorchuk duality	2
On fuzzifications of non-autonomous dynamical systems	2
Free involutions on odd dimensional Wall manifolds and cohomology of orbit spaces	2
D-continua, D⁎-continua, and Wilder continua	2
On new star-selection principles in topology	2
Dynamical IP⋆-sets in weak rings	2
On some classes of quasitopological groups	2
Cofinal completion vis-á-vis Cauchy continuity and total boundedness	2
Polar degree of hypersurfaces with 1-dimensional singularities	2
The continuous d-open homomorphism images and subgroups of R-factoriza	2
Length of a chain composed by certain monoids of self maps	2
Regular G-diagonals and hyperspaces	2
On remainders of locally s-spaces	2
Factorization of maps on limits of inverse systems in Top	2
Self-closeness numbers of finite cell complexes	2
Assouad-Nagata dimension of finitely generated C′	2
Domination by small sets versus density	2
On Lyubeznik type invariants	2
Induced dynamics of nonautonomous dynamical systems	2
Higher topological Hochschild homology of periodic complex K-theory	2
Categorical and topological properties of the functor of Radon functionals	2
Categories of coarse groups: Quasi-homomorphisms and functorial coarse structures	2
A study on D-spaces and the metrizability of compact spaces with property (σ-A)	2
Selectively pseudocompact groups and p-compactness	2
Fans having unique cones	2
Algebraic entropy on topologically quasihamiltonian groups	2
Further results on new star-selection principles	2
Spaces with fragmentable open sets	2
Atoms in the lattice of covering operators in compact Hausdorff spaces	2
G-covers and ω1-strongly compact cardinals	2
Explicit modular forms from the divided beta family	2
Consonant spaces and topological games	2
The freeness theorem for equivariant cohomology of Rep(C2)-complexes	2
Base dimension-like function of the type Dind and universality	2
Minimality of topological matrix groups and Fermat primes	2
A characterization of the countable paracompactness for products of ordinals	2
On continuity of set-valued mappings	2
Description of outer derivations of the group algebras	2
Corrigendum to “Hypercyclic abelian semigroups of matrices on R	2
On M-factorizable P-groups	2
Differentially compact spaces	2
Surprising circles in Morse boundaries of right-angled Coxeter groups	2
Topological complexity of unordered configuration spaces of certain graphs	2
On κ-bounded and M-compact reflections of topological spaces	2
P-filters and Cohen, random, and Laver forcing	2
Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces	2
On C-embedded subspaces of weakly Lindelöf spaces	2
On densely normal locales	2
Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”	2
The Borel complexity of ideal limit points	2
Geometric bistellar moves relate geometric triangulations	2
Embedding of graph inverse semigroups into CLP-compact topological semigroups	2
Selection games on hyperspaces	2
Classification of Floyd-Auslander systems with fixed pattern	2
Topology of univoque sets in real base expansions	2
On transitive and chaotic dynamics of linear semiflows	2
On cellular-compact and related spaces	2
Separating sets by functions and by sets	2
Computational tools for twisted topological Hochschild homology of equivariant spectra	2
M-factorizable feathered topological groups	2
Cantor sets with high-dimensional projections	2
On totally periodic ω-limit sets for monotone maps on regular curves	2
The frame of the p-adic numbers	2
When is a band-connected sum equal to the connected sum?	2
Local dendrite maps without periodic points	2
On a question of Dikranjan and Zava	2
Function space of continuous maps from Peano continuum to tree I	2
Covering Tychonoff cubes by topological groups	2
The homotopy type of the space of algebraic loops on a toric variety	2
On points of porouscontinuity	2
Dynamics with Jones' set function T	2
Compatible topologies on mixed lattice vector spaces	2
Selection games on continuous functions	2
Calculation of Nielsen periodic numbers on infra-nilmanifolds	2
Gromov–Hausdorff distance between interval and circle	2
Recurrence and the minimal center of attraction with respect to a Følner sequence	2
Periodic projections of alternating knots	2
A remark on the ring of integer-valued continuous functions in pointfree topology	2
Generalized quasi-metric semilattices	2
Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space	2
On spaces with fragmentable open sets	2
M-factorizability of products and τ-fine topological groups	2
On countably compact group topologies without non-trivial convergent sequences on 2
A note on δ-strongly compact cardinals	2