OOIR: Observatory of International Research

Papers

(The median citation count of Fundamenta Mathematicae is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

Article	Citations
On continuum-wise minimality	7
(Weak) diamond can fail at the least inaccessible cardinal	5
Translation invariant linear spaces of polynomials	4
High-dimensional sequential compactness	3
On the local connectivity of attractors of Markov IFS	3
A limiting result for the Ramsey theory of functional equations	3
A Krull–Remak–Schmidt theorem for fusion systems	3
Characterizing the existence of a Borel complete expansion	3
Orthogonality of measures and states	3
Bosonic and fermionic representations of endomorphisms of exterior algebras	3
There is a P-measure in the random model	2
Constructions of Lindelöf scattered P-spaces	2
On the scope of the Effros theorem	2
Homological characterizations of $Q$-manifolds and $l_2$-manifolds	2
Guts, volume and skein modules of 3-manifolds	2
Definable towers	2
Special groups and quadratic forms over rings with non-zero-divisor coefficients	1
Surreal substructures	1
Set theory with a proper class of indiscernibles	1
Non-absoluteness of Hjorth’s cardinal characterization	1
Strongly commuting interval maps	1
The dynamics of measurable pseudo-Anosov maps	1
Cantor sets as generalized inverse limits	1
Morse foliations of codimension one on the sphere $S^{3}$	1
Applications of infinity-Borel codes to definability and definable cardinals	1

Weak normality properties in ${\varPsi }$-spaces	1
Iterative roots of multifunctions	1
Countable ordinals in indiscernibility spectra	1
A note on the push-forward formulas for even orthogonal Grassmannians	1
Countable discrete extensions of compact lines	1
Almost everywhere convergence of nets of operators and weak type maximal inequalities	1
Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category	1
One-dimensional Peano continua with zero-dimensional wild part	1
Directional weak mixing and applications	1
On the realisability of Smale orders	1
On $C^0$-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects	1
Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value group of finite archimedean rank	1
Lipschitz functions on quasiconformal trees	1
The universal factorial Hall–Littlewood $P$- and $Q$-functions	1
Dehn quandles of groups and orientable surfaces	1
Slopes and signatures of links	1
Configuration spaces and directed paths on the final precubical set	1
Restricted polynomial induction versus parameter free ordinary induction	1
A dynamical approach to nonhomogeneous spectra	1
Vaught's conjecture for theories admitting finite monomorphic decompositions	1
Ergodicity in some families of Nevanlinna functions	1
A lower bound for the Hanf number for joint embedding	1
On the action of the ${\varSigma }(2,3,7)$ homology sphere group on its space of left-orders	1
Destruction of CPE-normality along deterministic sequences	1
A (possibly new) structure without the canonical base property	1
On definable matchings in o-minimal bipartite graphs	1
Projective Fra\xEFss\xE9 limits and generalized Wa\xBBewski dendrites	1
Separation for isometric group actions and hyperimaginary independence	1
Filters on a countable vector space	1
Link homology and Frobenius extensions II	1
Sequential approximations for types and Keisler measures	0
The Keisler–Shelah isomorphism theorem and the continuum hypothesis	0
Compact generators	0
Application of waist inequality to entropy and mean dimension: II	0
Dimension of images and graphs of little Lipschitz functions	0
Decompositions of finite high-dimensional random arrays	0
Genera and crossing numbers of 2-bridge knots	0
Every CBER is smooth below the Carlson–Simpson generic partition	0
A solution to a problem about the Erdős space	0
The virtual large cardinal hierarchy	0
A note on almost negative matrices and Gromov-hyperbolic Coxeter groups	0
Existentially closed measure-preserving actions of free groups	0
Expansive dynamics on profinite groups	0
Mixing and double recurrence in probability groups	0
Ramsey subsets of the space of infinite block sequences of vectors	0
Covering versus partitioning with Polish spaces	0
Selective separability properties of Fréchet–Urysohn spaces and their products	0
Presentation ranks on Polish spaces	0
Comparing cubical and globular directed paths	0
Commutative unital rings elementarily equivalent to prescribed product rings	0

The Nadler–Quinn problem for simplicial inverse systems	0
The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension	0
Ramsey-like operators	0
On the weak pseudoradiality of CSC spaces	0
Which pairs of cardinals can be Hartogs and Lindenbaum numbers of a set?	0
Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$	0
Invariant ideal axiom, beyond the countable sequential groups	0
Characterisations of ${\varSigma }$-pure-injectivity in triangulated categories and applications to endocoperfect objects	0
Classification of 2-component virtual links up to ${\varXi }$-moves	0
The fundamental group of reduced suspensions	0
Local coloring problems on smooth graphs	0
Quantitative equidistribution of angles of multipliers	0
Mycielski ideals and uniform trees	0
Strong orbit equivalence in Cantor dynamics and simple locally finite groups	0
Towers and gaps at uncountable cardinals	0
The special tree number	0
Classifying functions via growth rates of repeated iterations	0
Type-definable NIP fields are Artin–Schreier closed	0
Rotated odometers and actions on rooted trees	0
Unicritical laminations	0
Finer topologies on pointsets in Polish spaces	0
Billiards with countably many scatterers under no eclipse	0
Minimal number of periodic orbits for non-singular Morse–Smale flows in odd dimension	0
Inverse limit slender groups	0
An exceptional splitting of Khovanov’s arc algebras in characteristic 2	0
On cardinal characteristics associated with the strong measure zero ideal	0
Filtration games and potentially projective modules	0
Connections between matrix summability ideals and nonpathological analytic P-ideals	0
Difference sheaves and torsors	0
On the Kashaev signature conjecture	0
Ergodic measures with infinite entropy	0
On recurrence and entropy in the hyperspace of continua in dimension one	0
Mean dimension and a non-embeddable example for amenable group actions	0
P-ideal dichotomy and Tukey order	0
A note on highly connected and well-connected Ramsey theory	0
Editorial remarks on Y. Zelenyuk's proof of the nonexistence of infinite increasing chains of principal left ideals in $\beta \mathbb Z $	0
Derivatives with Alexander pairs for quandles	0
Degree one maps on 4-manifolds with cyclic fundamental groups	0
Recurrence, rigidity, and shadowing in dynamical systems	0
There are exactly $\omega _1$ topological types of locally finite trees with countably many rays	0
Unboring ideals	0
Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem	0
On the descriptive complexity of Salem sets	0
On resolvability of products	0
Extenders under ZF and constructibility of rank-to-rank embeddings	0
ZFC without power set II: reflection strikes back	0
On an extension of the Nöbeling rational universal space	0
Compressible spaces and $\mathcal{E}\mathcal{Z}$-structures	0
Differentiability of the pressure in non-compact spaces	0
A new take on random interval homeomorphisms	0
Erratum and addendum to ‘Recovering a compact Hausdorff space $X$ from the compatibility ordering on $C(X)$’ (Fund. Math. 242 (2018), 187–205)	0
Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary	0
A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions	0
Hausdorff dimension of metric spaces definable in o-minimal expansions of the real field	0
Loeb extension and Loeb equivalence II	0
A constructive approach to Markov compacta	0
Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration	0
Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups	0
The distribution of genera of 2-bridge knots	0
PCF theory and the Tukey spectrum	0
Schmidt's winning sets in $S$-gap shifts	0
On a conjecture of Debs and Saint Raymond	0
Translation algorithms for graph covers	0
New axioms for the lattice-ordered groups existentially closed in $\mathbf W^+$	0
Increasing sequences of principal left ideals of $\beta \mathbb{Z}$ are finite	0
On Félix–Tanré rational models for polyhedral products	0
Belinskaya’s theorem is optimal	0
On maps with continuous path lifting	0
On the interrelation of a theorem of Juhász and certain weak axioms of choice	0
Infinite-dimensional Thurston theory and transcendental dynamics I: infinite-legged spiders	0
Universally measurable sets may all be $\mathop{\Delta}\limits_\sim {}^{1}_{2}$	0
Large deviation and central limit theorems for sequential and random Lasota–Yorke convex maps	0
Definable compactness in definably complete locally o-minimal structures	0
Topological models of arithmetic	0