Results 41 to 50 of about 57,146 (152)

On Non-Archimedean Fuzzy Metric Free Topological Groups

Axioms
We construct the free group over a non-Archimedean fuzzy metric space (X,M,∧) in the sense of George and Veeramani where ∧ is the minimum t-norm. The two main tools used are the concept of a scheme (for every non-empty subset S of N of even cardinal, a ...
Cristina Bors, Manuel Sanchis
doaj   +1 more source

Free abelian topological groups and collapsing maps

Topology and its Applications, 2012
The author gives a specific description of the free Abelian topological group on a topological space. This admits a universal extension property when the space is a pointed compact metric space. Writing \(A(X)\) for the free Abelian topological group, the main theorem shows that if \((X,Y)\) is a pair of compact metric ANR spaces, the map \(A(X)\to A(X/
openaire   +1 more source

Notes on countable tightness of the subspaces of free (Abelian) topological groups

Topology and its Applications, 2017
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Lin, Fucai, Feng, Ziqin, Liu, Chuan
openaire   +2 more sources

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

SymTh for non-finite symmetries

Journal of High Energy Physics
Symmetry topological field theory (SymTFT) is a convenient tool for studying finite generalized symmetries of a given quantum field theory (QFT). In particular, SymTFTs encode all the symmetry structures and properties, including anomalies.
Fabio Apruzzi, Francesco Bedogna, Nicola Dondi   +2 more
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

The k-spaces property of the free Abelian topological groups over non-metrizable Lašnev spaces

Topology and its Applications, 2017
Let \(A(X)\) be the free abelian topological group over a Tychonoff space \(X\) and for each natural number \(n\), let \(A_n(X)\) denote the subspace of \(A(X)\) consisting of all words of reduced length at most \(n\). Let \(X\) be a metrizable space. In [Topology Appl. 33, No. 1, 63--76 (1989; Zbl 0689.54009)], \textit{A. V.
Lin, Fucai, Liu, Chuan
openaire   +3 more sources

WZW terms without anomalies: Generalised symmetries in chiral Lagrangians

SciPost Physics
We consider a 4d non-linear sigma model on the coset $(\text{SU}(N)_L × \text{SU}(N)_R × \text{SU}(2))/(\text{SU}(N)_{L+R}× \mathrm{U}(1))\cong \text{SU}(N) × S^2$, that features a topological Wess–Zumino–Witten (WZW) term whose curvature is $\frac{n}{24\
Joe Davighi, Nakarin Lohitsiri
doaj   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

The fundamental group of the complement of a generic fiber‐type curve

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín, Eva Elduque   +1 more
wiley   +1 more source