7431 papers
This paper demonstrates that while Jensen's square principle is non-compact at , the weak square principle is actually compact at singular cardinals of uncountable cofinality under mild hypotheses, contrasting with the behavior at .
This paper proves that the fundamental group of a closed orientable irreducible 3-manifold admitting a co-orientable taut foliation with one-sided branching is left orderable.
The paper establishes that the fundamental group of a closed, orientable, irreducible 3-manifold is left orderable if the manifold admits a co-orientable taut foliation with orderable cataclysm, thereby providing an elementary proof for the left orderability of fundamental groups in the presence of Anosov or pseudo-Anosov flows and extending this result to infinitely many Dehn fillings.
This paper proves Sargsyan's conjecture that for any regular Suslin cardinal in , if the associated pointclass is inductive-like, then there exists no sequence of distinct -Suslin sets of length .
This paper establishes that in NATP theories, Kim-dividing over models is always witnessed by coheir Morley sequences, leading to key corollaries regarding quasi-dividing and the characterization of Kim-independence, while also clarifying the relationship between these concepts and Mutchnik's recent work on -NDCTP theories.
This paper establishes that for a conilpotent coalgebra , the inclusion of comodules into -modules and the forgetful functor from contramodules to -modules both induce fully faithful triangulated functors on appropriate bounded derived categories if and only if the Ext-groups are finite-dimensional for all , a condition the authors term "weakly finitely Koszul."
This paper establishes explicit conditions under which Dehn surgery slopes are characterising for hyperbolic and certain satellite knots by combining JSJ decomposition analysis with geodesic length techniques, while also refining these results for Whitehead doubles using hyperbolic volume inequalities and constructing counterexamples for specific multiclasped cases.
This paper investigates the behavior of twisted and completely twisted conjugacy separability under subgroups, quotients, and finite extensions, ultimately proving that for polycyclic-by-nilpotent-by-finite groups, complete twisted conjugacy separability is equivalent to all quotients being residually finite.
This paper presents a comprehensive overview of the combinatorial theory of horospherical varieties, utilizing coloured fans as a generalization of the polyhedral fans used in toric varieties.
This paper defines generalised higher Whitehead maps between polyhedral products and establishes new families of relations among them by exploring the connection between the homotopy-theoretic properties of these spaces and the combinatorial structure of simplicial complexes, thereby recovering and generalising known identities.
This paper proposes and partially proves a general conjecture regarding the existence of Eisenstein congruences between weight newforms of square-free level and weight new Eisenstein series of square-free level with arbitrary character, while also exploring connections to the Bloch-Kato conjecture and providing computational examples.
This paper establishes a necessary and sufficient combinatorial condition, characterized by pattern avoidance in GKM graphs, for the smoothness of intersections between Schubert and regular semisimple Hessenberg varieties of type , thereby providing a sufficient condition for the smoothness of Hessenberg Schubert varieties.
This paper investigates extensions of the Arf invariant to colored links via generalized Seifert forms and demonstrates that, unlike other classical invariants, these new invariants are determined solely by linking numbers except in the known case of oriented links.
This paper establishes systematic model-theoretic conditions under which the pointwise convergence and Zariski topologies coincide on the endomorphism monoids of -categorical structures, while also providing a counterexample where they differ, thereby resolving a question posed by Elliott et al.
This paper introduces derived projective covers to establish an if-and-only-if criterion for them forming a silting collection and proves a Koszul duality result linking silting and simple-minded collections.
This paper proves that the set of nonzero squares in a finite field (for odd ) cannot be expressed as a restricted sumset , while also extending these results to general multiplicative subgroups and perfect powers, and establishing an analogue of the van Lint-MacWilliams conjecture for restricted sumsets.
This paper proves that Dehn fillings of mapping tori derived from orientation-preserving pseudo-Anosov homeomorphisms with co-orientation-reversing monodromy admit co-orientable taut foliations for a specific range of multislopes, a result that characterizes all non-L-space fillings for certain hyperbolic fibered knot manifolds, including -pretzel knots.
This paper proposes an enriched version of universal algebra over a base category by defining languages with -ary function symbols and recursively constructing terms using 's morphisms and monoidal structure, ultimately characterizing algebras for finitary monads on as models of enriched equational theories.
This paper introduces the biflats complex of a matroid and demonstrates through elementary collapses that it is simple homotopy equivalent to both the conormal complex and the simplicial join of the Bergman complexes of the matroid and its dual, while also analyzing their distinct combinatorial properties.
This paper introduces a target-based distributionally robust optimization framework for the minimum spanning tree problem with unknown edge weight distributions, proposing two exact algorithms based on Benders decomposition and a modified Prim algorithm to achieve a balance between computational tractability and robustness in large-scale stochastic networks.