Topology and Its Applications

Article	Citations
Tangent developables and Darboux developables of framed curves	30
On H-sober spaces and H-sobrifications of T0 spaces	15
Menger and Menger-type star selection principles for hit-and-miss topology	11
Metrizable and weakly metrizable coset spaces	10
Some properties defined by relative versions of star-covering properties	10
Locally upper bounded poset-valued maps and stratifiable spaces	10
Some open problems on well-filtered spaces and sober spaces	9
Cardinal invariants of coset spaces	9
Rothberger and Rothberger-type star selection principles on hyperspaces	9
On the topological complexity of maps	8
On two problems about sobriety of topological spaces	8
On metrizability and compactness of certain products without the Axiom of Choice	8
Applications of Scott-closed sets in convex structures	7
A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric	7
Multi-switches and virtual knot invariants	7
Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology	7
Compact bilinear operators on asymmetric normed spaces	7
Increasing sequence of topologies on the set of positive integers	6
Some applications of the theory of Katětov order to ideal convergence	6
Submetrizability and first-countability of coset spaces	6
The R∞-property for right-angled Artin groups	6
Was Ulam right? I: Basic theory and subnormal ideals	5
Characterizations of relativized distal points of topological dynamical systems	5
D-continua, D⁎-continua, and Wilder continua	5
Kantorovich-Rubinstein quasi-metrics I: Spaces of measures and of continuous valuations	5

Coincidence of the upper Vietoris topology and the Scott topology	5
On the dimension of H⁎	5
Cardinal invariants in the quotient spaces of weakly topological groups	5
The hit problem for the polynomial algebra in some weight vectors	5
Dynamic properties for the induced maps on n-fold symmetric product suspensions II	5
On relative category and Morse decompositions for infinite-dimensional dynamical systems	5
Two topologies on the lattice of Scott closed subsets	5
Generalized torsion and Dehn filling	5
Order and uo-convergence in spaces of continuous functions	5
First-countability, ω-Rudin spaces and well-filtered determined spaces	5
Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”	5
Combined zigzag structures in dynamical IP⁎ sets	5
Extending free actions of finite groups on surfaces	4
Twisted conjugacy in fundamental groups of geometric 3-manifolds	4
Triple-crossing number, the genus of a knot or link and torus knots	4
Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric	4
Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces	4
On (para)topological groups with a countably (s-)complete sieve	4
Disjoint dynamics of weighted translations on solid spaces	4
Čech closure spaces: A unified framework for discrete and continuous homotopy	4
On J-frames	4
The saturated prefilter monad	4
Dynamical IP⋆-sets in weak rings	4
Some independence results about compact metrizable spaces and two notions of finiteness	4
Some decomposable continua and Whitney levels of their hyperspaces	4
M-factorizable feathered topological groups	4
Core-compactness, consonance and the Smyth powerspaces	4
On function spaces related to d-spaces	4
A note on (strongly) topological gyrogroups	4
More Brieskorn spheres bounding rational balls	4
Completing simple valuations in -categories	4
Selection games and the Vietoris space	4
Fixed point free actions of spheres and equivariant maps	4
The range of ultrametrics, compactness, and separability	4
Ascoli and sequentially Ascoli spaces	4
Digital topological rough set structures and topological operators	4
On M-factorizable P-groups	3
On paratopological gyrogroups	3
Uniform equicontinuity and groups of homeomorphisms	3
On the free set number of topological spaces and their G-modifications	3
Approximation by pointwise bounded sets of continuous functions	3
The Kirch space is topologically rigid	3
A study on D-spaces and the metrizability of compact spaces with property (σ-A)	3
HOMFLYPT skein sub-modules of the lens spaces L(p,1)	3
Productivity of cellular-Lindelöf spaces	3
Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness	3
Perfectness of 2-star compactifications of frames	3
Atoms in the lattice of covering operators in compact Hausdorff spaces	3
A generalization of the Gram determinant of type A	3
Inverse limits with set-valued functions having graphs that are arcs	3

Investigation of flash crash via topological data analysis	3
Uniformities on strongly topological gyrogroups	3
The topological structure of the set of fuzzy numbers with L metric	3
The finest locally convex topology of an extended locally convex space	3
Submetrizability of some classes of coset spaces	3
A note on δ-strongly compact cardinals	3
Induced dynamics of nonautonomous dynamical systems	3
On almost sober spaces	3
Selection games on hyperspaces	3
An elementary proof of Euler's formula using Cauchy's method	3
Surprising circles in Morse boundaries of right-angled Coxeter groups	3
Saturated and linear isometric transfer systems for cyclic groups of order pq	3
Topological transitivity in quasi-continuous dynamical systems	3
Simple homotopy theory and nerve theorem for categories	3
Free quasitopological groups	3
GKM theory for orbifold stratified spaces and application to singular toric varieties	3
Continuously triangulating the continuous cluster category	3
Skein theoretic approach to Yang-Baxter homology	3
Kantorovich-Rubinstein quasi-metrics II: Hyperspaces and powerdomains	3
Regular G-diagonals and hyperspaces	3
Some generalized countably compact properties in topological groups	3
Using rational homology circles to construct rational homology balls	3
On some classes of quasitopological groups	3
On quantization dimensions of idempotent probability measures	3
Some further results on the cancellation law for partially ordered sets and T0-spaces	3
Hodge theory on Alexander invariants – A survey	3
M-factorizability of products and τ-fine topological groups	3
Topology of univoque sets in real base expansions	3
Quotient with respect to admissible L-subgyrogroups	3
On Cauchy condition and related notion of connectedness	2
Classification of Floyd-Auslander systems with fixed pattern	2
On Lyubeznik type invariants	2
Symplectic and inverse spectral geometry of integrable systems: A glimpse and open problems	2
A Jordan curve theorem for 2-dimensional tilings	2
Inverse limits which are P-spaces	2
Numerable open covers and representability of topological stacks	2
Calculation of Nielsen periodic numbers on infra-nilmanifolds	2
Krasnoselskij-type algorithms for fixed point problems and variational inequality problems in Banach spaces	2
Equi-Baire 1 families of functions	2
Fans having unique cones	2
Further results on new star-selection principles	2
k-primal spaces	2
Typical dynamics of Newton's method	2
Problems on hyperspaces of continua, some answers	2
Topological complexity of unordered configuration spaces of certain graphs	2
On κ-bounded and M-compact reflections of topological spaces	2
Selectively pseudocompact groups and p-compactness	2
Corrigendum to “Hypercyclic abelian semigroups of matrices on R	2
On transitive and chaotic dynamics of linear semiflows	2
Polar degree of hypersurfaces with 1-dimensional singularities	2
Geometric bistellar moves relate geometric triangulations	2
Sequential parametrized motion planning and its complexity	2
A moment angle complex whose rank of double cohomology is 6	2
The homotopy type of the space of algebraic loops on a toric variety	2
Banach-Mazur game and open mapping theorem	2
Functions on products of pseudocompact spaces	2
Generalized quasi-metric semilattices	2
Local dendrite maps without periodic points	2
Characterization and topological behavior of homomorphism tree-shifts	2
Computational tools for twisted topological Hochschild homology of equivariant spectra	2
On (monotonically) metacompact subspaces of GO-spaces and related conclusions	2
On cΔ(Λ)-covers and Δγ-sets	2
Generalization of the Grothendieck's theorem	2
A study on weakly Lindelöf (para)topological groups with a q-point and m(M)-f	2
Upsilon invariants of L-space cable knots	2
The almost disjointness invariant for products of ideals	2
Minimally generated Boolean algebras and the Nikodym property	2
On continuity of set-valued mappings	2
Musing on Kunen's compact L-space	2
Nonsmoothable actions of Z2	2
Strongly ultrametric preserving functions	2
Assouad-Nagata dimension of finitely generated C′	2
On bM-ω-balancedness and M-factorizability of para(semi)topological groups	2
Left orderability of cyclic branched covers of rational knots C(2n + 1,2m,2)	2
Minimality of topological matrix groups and Fermat primes	2
Digital topological groups	2
Compatible topologies on mixed lattice vector spaces	2
Configuration spaces of labeled points on a circle with two anchors	2
On countably compact group topologies without non-trivial convergent sequences on 2
Gromov–Hausdorff distance between interval and circle	2

Stability theorems in pointwise dynamics	2
Further investigations on certain star selection principles	2
Periodic projections of alternating knots	2
On quasi-metrizable d-spaces	2
On totally periodic ω-limit sets for monotone maps on regular curves	2
Properties of increasing sequence of Kirch-type topologies on the set of positive integers	2
Supremum topological sequence entropy of circle maps	2
On the number of simplices required to triangulate a Lie group	2
Moves relating C-complexes: A correction to Cimasoni's “A geometric construction of the Conway potential function”	2
Extension of mappings from the product of pseudocompact spaces	2
Non-Hausdorff manifolds via adjunction spaces	2
The R-completion of closure spaces	2
The freeness theorem for equivariant cohomology of Rep(C2)-complexes	2
Strong homotopy in finite topological adjacency category	2
Median pretrees and functions of bounded variation	2
On entropy on quasi-metric spaces	2
Transversal, T1-independent, and T1-complementary paratopological group topologies	2
The homotopy type of a once-suspended 6-manifold and its applications	2
The Borel complexity of ideal limit points	2
G-covers and ω1-strongly compact cardinals	2
Isn	2
On the asymptotic dimension of products of coarse spaces	2
Cofinal completion vis-á-vis Cauchy continuity and total boundedness	2
The fundamental groupoid as a topological groupoid: Lasso topology	1
On the widest class of completeness-preserving covering maps	1
A Conley-type Lyapunov function for the strong chain recurrent set	1
Equalities for the extent of infinite products and Σ-products	1
On some locally convex FK spaces	1
Further applications of bornological covering properties in function spaces	1
Valdivia's lifting theorem for non-metrizable spaces	1
Extensions of continuous increasing functions	1
Equivariant hyperbolization of 3-manifolds via homology cobordisms	1
Tree-like continua and dendrites on set-valued inverse limits	1
The RO(ΠB)-graded C2-equivariant ordinary cohomology of B<	1
Sub-posets in ω and the strong Pytkeev⁎ property	1
Two kinds of parameterized metrics: Construction, topological properties and applications	1
Singular precalibers for topological products	1
On functional tightness and local density of the space of probability measures	1
Topological entropy bounds multiscale entropy	1
Cyclic sequences of periodic sums in βN	1
Paratopological groups: Local versus global	1
Once again on topological spaces containing a dense completely metrizable subset	1
Pointless proofs of the Menger and Rothberger games	1
Unicity for representations of reduced stated skein algebras	1
D-independent topological groups	1
Primitive, proper power, and Seifert curves in the boundary of a genus two handlebody	1
A generalization of Whyburn's theorem, and aperiodicity for Abelian C⁎-inclusions	1
On Morse–Smale–Witten type cohomologies for orbifolds	1
Generalized Archimedean spaces and expansivity	1
Equivariant embeddings of manifolds into Euclidean spaces	1
Robustness of statistical manifolds	1
Automorphism groups of universal diversities	1
Clouds in Gromov–Hausdorff class: Their completeness and centers	1
Some theorems on decomposable continua	1
Jacobi identity in polyhedral products	1
Length of a chain composed by certain monoids of self maps	1
Dynamic properties for the induced maps on symmetric product suspensions of a topological space	1
Equivariant sheaves for profinite groups	1
Knots admitting purely cosmetic surgeries are prime	1
The finite coarse shape groups	1
The homotopy types of PSp(n)-gauge groups over S2	1
On topological motives	1
Extended locally convex spaces: Barreledness, equicontinuity and Banach-Steinhaus theorem	1
Attractor bifurcation for positive solutions of evolution equations	1
The Wadge hierarchy on Zariski topologies	1
Products of locally minimal groups	1
The dynamical approach to the conjugacy in groups	1
Virtually symmetric representations and marked Gauss diagrams	1
Almost paratopological groups	1
Insertion theorems for countably paracompact frames and stratifiable frames	1
Some fixed point theorems for tree-like continua	1
Paracompact in ZFC; CWN screenable Dowker in ZF+AD	1
Properties of remainders of topological groups and of their perfect images	1
Metrizability of partial metric spaces	1
Every metric space of weight λ=	1
Power homogeneous compacta and variations on tightness	1
Free involutions on odd dimensional Wall manifolds and cohomology of orbit spaces	1
Some notes on induced functions and group actions on hyperspaces	1
Beyond Erdős-Kunen-Mauldin: Shift-compactness properties and singular sets	1
Topological field theories on open-closed r-spin surfaces	1
Property A for coarse spaces	1
An infinity operad of normalized cacti	1
Increasing sequence of T0-topologies on the set of positive integers	1
On dynamics of families of equi-Baire one functions on metric spaces	1
Groups of automorphisms of bordered non-orientable Klein surfaces of topological genus 3	1
On the upper bound of the cardinality of Hausdorff topological spaces	1
A topological model for the coloured Alexander invariants	1
The realization problem of non-connected compacta as attractors	1
On the Reznichenko and Pytkeev properties in hyperspaces	1
Linear foliations on affine manifolds	1
The algebraic K-theory of the group ring of the Klein bottle group	1
N-expansive flows	1
Two questions on coset spaces of semitopological groups	1
Twisted Reidemeister torsions via Heegaard splittings	1
Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs	1