Results 81 to 90 of about 521,410 (206)
A function space from a compact metrizable space to a dendrite with the hypo-graph topology
Open Mathematics, 2015 Let X be an infinite compact metrizable space having only a finite number of isolated points and Y be a non-degenerate dendrite with a distinguished end point v.
Yang Hanbiao +2 more
doaj +1 more source
, 2000 In this paper we develop an axiomatic approach to coarse homology theories. We prove a uniqueness result concerning coarse homology theories on the category of `coarse CW-complexes'.
Baum +8 more
core +2 more sources
Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley +1 more source
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Graph topologies on closed multifunctions
Applied General Topology, 2003 In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions considered as graphs which are ...
Giuseppe Di Maio +2 more
doaj +1 more source
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof,, we obtain a motivic version of mod k$k$ Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety (NGLrT)∖GLr$(N_{\mathrm{GL}_r} T)\backslash \mathrm{GL}_r$ which turns out
Alexey Ananyevskiy +3 more
wiley +1 more source
Groups with exotic finiteness properties from complex Morse theory
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further and exhibit, for each integer k$k$, new hyperbolic groups admitting surjective homomorphisms to Z${\mathbb {Z}}$ and to Z2${\mathbb {Z}}^{2}$, whose kernel is of type ...
Claudio Llosa Isenrich, Pierre Py
wiley +1 more source
Lifting Dynamical Properties to Hyperspaces
Applied General Topology, 2014 For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X consisting of nonempty closed connected ...
Dania Masood, Pooja Singh
doaj +1 more source
Homology and Robustness of Level and Interlevel Sets
, 2010 Given a function $f: \Xspace \to \Rspace$ on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the extended persistence diagram of $f$.
Bendich, Paul +3 more
core +3 more sources
Lipschitz‐free spaces over strongly countable‐dimensional spaces and approximation properties
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 359-376, February 2025.Abstract Let T$T$ be a compact, metrisable and strongly countable‐dimensional topological space. Let MT$\mathcal {M}^T$ be the set of all metrics d$d$ on T$T$ compatible with its topology, and equip MT$\mathcal {M}^T$ with the topology of uniform convergence, where the metrics are regarded as functions on T2$T^2$. We prove that the set AT,1$\mathcal {A}
Filip Talimdjioski
wiley +1 more source