Results 71 to 80 of about 101,782 (200)

Homotopy, simple homotopy and compacta

Topology, 1980
Question 1 is related to a series of questions which have been studied over the past 30 yr. Thus, in 1950 J.H.C. Whitehead proved that such a space is homotopy equivalent to an infinite dimensional CW complex. He also asked ([21, p. 1081) whether such a space necessarily had the homotopy type of a finite dimensional CW complex. In 1957, Milnor ([15], p.
openaire   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal 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, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

Assembly of constructible factorization algebras

Journal 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, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

INDEX COMPUTATION OF SOME BISINGULAR OPERATORS WITH SHIFT BY HOMOTOPY METHOD

Вестник Донского государственного технического университета, 2018
The work continues to research the insufficiently explored problem of bisingular operators with shift index. It considers new cases of index computation of the bisingular operators with indisintegrative involutive shift by the homotopy method.
S. V. EFIMOV
doaj  

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

αH-ψH-Multivalued Contractive Mappings and Related Results in Complete Metric Spaces with An Application

Mathematics, 2019
In the present article, the notion of αH-ψH-multivalued contractive type mappings is introduced and some fixed point results in complete metric spaces are studied. These theorems generalize Nadler’s (Multivalued contraction mappings, Pac. J.
Pooja Dhawan, Kapil Jain, Jatinderdeep Kaur   +2 more
doaj   +1 more source

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

Journal 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

The two rows resolution of Weyl module in the cases partition (12,6) [PDF]

مجلة جامعة الانبار للعلوم الصرفة
Let ℱ be a free R-module, where R is a commutative ring with 1 and D_nF be the nth degree divided power, the place polarization technique is a combinatorial approach for computing the complex elements.
Haytham Hassan, Adraa Sadeq
doaj   +1 more source

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

Journal 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

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source