Results 61 to 70 of about 933 (203)

Obstructions to homotopy equivalences

open access: yesAdvances in Mathematics, 1979
AbstractAn obstruction theory is developed to decide when an isomorphism of rational cohomology can be realized by a rational homotopy equivalence (either between rationally nilpotent spaces, or between commutative graded differential algebras). This is used to show that a cohomology isomorphism can be so realized whenever it can be realized over some ...
Halperin, Stephen, Stasheff, James
openaire   +1 more source

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

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

Triangular homotopy equivalences

open access: yes, 2013
8 pages, 1 figure, part of my PhD thesis, minor TeX corrections to ...
openaire   +2 more sources

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

The Influence of Ekman Number on Flows Over an Oscillating Isothermal Vertical Plate in a Rotating Frame

open access: yesJournal of Applied Fluid Mechanics, 2015
Unsteady flows of a Newtonian fluid past an oscillating infinite isothermal vertical plate in a rotating frame are studied. Two closed forms of the velocity field are determined by means of Laplace transform method and by the technique of coupling of the
Muhammad asjad Imran   +2 more
doaj  

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