Results 1 to 10 of about 1,015 (64)
Selection principles in hyperspaces with generalized Vietoris topologies
Topology and its Applications, 2008 In [J. Korean Math. Soc. 43, No.~5, 1099--1114 (2006; Zbl 1113.54006)] and [Topology Appl. 155, No.~17--18, 1947--1958 (2008; Zbl 1221.54004)], the authors investigated hyperspaces on a Čech closure space, in particular the question of what topologies could be considered as well as what results were still valid in this setting.
Mršević, Mila, Jelić, Milena
openaire +1 more source
Baire spaces and Vietoris hyperspaces [PDF]
, 2011 We prove that if the Vietoris hyperspace CL(X) of all nonempty closed subsets of a space X is Baire, then all finite powers of X must be Baire spaces. In particular, there exists a metrizable Baire space whose Vietoris hyperspace CL(X) is not Baire. This
Cao, J, Garcia Ferreira, S, Gutev, V
core +1 more source
On Extension Of Functors [PDF]
, 2011 A.Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the ...
Karchevska, Lesya, Radul, Taras
core +2 more sources
Hyperspaces with exactly two orbits [PDF]
, 2006 Let C(X) be the hyperspace of all subcontinua of a (metric) continuum X. It is known that C(X) is homogeneous if and only if C(X) is the Hilbert cube. We are interested in knowing when C(X) is 1/2-homogeneous, meaning that there are exactly two orbits ...
Patricia Pellicer-Covarrubias +1 more
core +2 more sources
, 2016 The family of all subcontinua that separate a compact connected $n$-manifold $X$ (with or without boundary), $n\ge 3$, is an $F_\sigma$-absorber in the hyperspace $C(X)$ of nonempty subcontinua of $X$.
Krupski, Paweł, Samulewicz, Alicja
core +1 more source
Finite subset spaces of graphs and punctured surfaces
, 2003 The kth finite subset space of a topological space X is the space exp_k X of non-empty finite subsets of X of size at most k, topologised as a quotient of X^k.
Beilinson +11 more
core +1 more source
A Whitney map onto the Long Arc [PDF]
, 2014 In a recent paper, Garc\'{\i}a-Velazquez has extended the notion of Whitney map to include maps with non-metrizable codomain and left open the question of whether there is a continuum that admits such a Whitney map.
Hernández-Gutiérrez, Rodrigo
core
Hyper-expansive Homeomorphisms [PDF]
, 2013 A homeomorphism on a compact metric space is said hyper-expansive if every pair of different compact sets are separated by the homeomorphism in the Hausdorff metric.
Artigue, Alfonso
core
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
core +1 more source
Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness [PDF]
, 1999 We show that every locally compact quasi-metrizable Moore space admits a uniformly locally compact quasi-metric. We also observe that every equinormal quasi-metric is cofinally complete.
Künzi, Hans-Peter A. +1 more
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