Results 61 to 70 of about 371 (169)

Local equivalence and refinements of Rasmussen's s‐invariant

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield   +2 more
wiley   +1 more source

A Commutator Theorem and Weighted BMO [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
The main result of this paper is a commutator theorem: If μ \mu and λ \lambda are A p {A_p} weights, then the commutator H H , M b {M_b} is a bounded operator from
openaire   +2 more sources

Assembly of constructible factorization algebras

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson   +2 more
wiley   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

FIXED POINT THEOREMS FOR COMMUTING MAPPINGS

open access: yesDemonstratio Mathematica, 1988
The author proves theorems of the following type: Let f and g be two continuous functions on a complete metric space and T, S two multivalued functions on the space CB(X) of nonempty closed and bounded subsets of X. If these functions commute and fullfil some inequality there exist common fixed points.
openaire   +2 more sources

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