Results 51 to 60 of about 1,198,947 (283)
On the homology of locally compact spaces with ends [PDF]
Topology and its Applications, 2011 We propose a homology theory for locally compact spaces with ends in which the ends play a special role. The approach is motivated by results for graphs with ends, where it has been highly successful. But it was unclear how the original graph-theoretical definition could be captured in the usual language for homology theories, so as to make it ...
Philipp Sprüssel, Reinhard Diestel
openaire +3 more sources
Equivariant extension properties of coset spaces of locally compact groups and approximate slices [PDF]
, 2011 We prove that for a compact subgroup $H$ of a locally compact Hausdorff group $G$, the following properties are mutually equivalent: (1) $G/H$ is a manifold, (2) $G/H$ is finite-dimensional and locally connected, (3) $G/H$ is locally contractible, (4) $G/
Antonyan, Sergey A.
core +2 more sources
A FEW REMARKS ON LOCALLY COMPACT TOPOLOGIES AND HAAR SYSTEMS [PDF]
Fiabilitate şi Durabilitate, 2018 We start from the question raised by Williams (Proc. Am. Math. Soc. 2016): Must a second countable, locally compact, transitive groupoid G have open range map? If the answer is positive, the topology of G is in fact locally transitive (in the sense of [
Mădălina Roxana BUNECI
doaj
International Journal of Mathematics and Mathematical Sciences, 1981 A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
doaj +1 more source
Proper actions and proper invariant metrics
, 2008 We show that if a (locally compact) group $G$ acts properly on a locally compact $\sigma$-compact space $X$ then there is a family of $G$-invariant proper continuous finite-valued pseudometrics which induces the topology of $X$.
Abels, Herbert +2 more
core +2 more sources
On certain porous sets in the Orlicz space of a locally compact group
, 2012 Let G be a locally compact group with a fixed left Haar measure. Given Young functions φ and ψ, we consider the Orlicz spaces L(G) and L(G) on a nonunimodular group G, and, among other things, we prove that under mild conditions on φ and ψ, the set {(f ...
I. Akbarbaglu, S. Maghsoudi
semanticscholar +1 more source
On uniformly locally compact spaces
Journal of Mathematical Analysis and Applications, 1970 In this paper we shall extend certain results on topological groups to uniform spaces. In Section 2 we generalize a result of Gleason [2]. In Section 3 we show that every uniformly locally compact space can be “approximated” by locally compact metrizable spaces.
openaire +2 more sources
Exactness of locally compact groups
, 2017 We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact second countable group is exact if and only if it admits a topologically amenable action on a compact Hausdorff ...
Adams +40 more
core +1 more source
The Haagerup property for locally compact quantum groups [PDF]
, 2013 The Haagerup property for locally compact groups is generalised to the context of locally compact quantum groups, with several equivalent characterisations in terms of the unitary representations and positive-definite functions established. In particular
Matthew Daws +3 more
semanticscholar +1 more source
On the generic part of the cohomology of non-compact unitary Shimura varieties [PDF]
Annals of Mathematics, 2019 We prove that the generic part of the mod l cohomology of Shimura varieties associated to quasi-split unitary groups of even dimension is concentrated above the middle degree, extending our previous work to a non-compact case.
A. Caraiani, P. Scholze
semanticscholar +1 more source