Results 91 to 100 of about 33,151 (213)

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

A User''s Guide to Solving Dynamic Stochastic Games Using the Homotopy Method [PDF]

This paper provides a step-by-step guide to solving dynamic stochastic games using the homotopy method. The homotopy method facilitates exploring the equilibrium correspondence in a systematic fashion; it is especially useful in games that have multiple ...
Ron N. Borkovsky, Yaroslav Kryukov, Ulrich Doraszelski   +2 more
core  

Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R$S\times \mathbb {R}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley   +1 more source

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

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

n-relative categories: a model for the homotopy theory of n-fold homotopy theories [PDF]

, 2013
We introduce, for every integer n ≥ 1, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e., homotopy theories of… homotopy ...
Barwick, Clark Edward, Kan, D. M.
core   +1 more source

Simple groups and complements of smooth surfaces in simply connected 4‐manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For each integer n$n$ we construct an oriented closed simply connected 4‐manifold X$X$ admitting a smoothly embedded closed connected surface Σ$\Sigma$ of self‐intersection number n$n$ such that the complement of the surface has non‐trivial fundamental group. This answers a question of Kronheimer in Kirby's 1997 problem list.
Sam Hughes, Daniel Ruberman
wiley   +1 more source

$\mathfrak{F}$-Bipolar Metric Spaces: Fixed Point Results and Their Applications

Axioms
The aim of this research article is to broaden the scope of fixed point theory in F-bipolar metric spaces by introducing the concept of rational (⋏,⋎,ψ)-contractions.
Badriah Alamri
doaj   +1 more source

Applications of Common Fixed-Point Results in Complex-Valued Metric Spaces to Homotopy Theory

Axioms
The aim of this research article is to introduce generalized rational contractions in the context of complex-valued metric spaces and to establish novel common fixed-point theorems.
Amnah Essa Shammaky, Jamshaid Ahmad
doaj   +1 more source

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source