Results 1 to 10 of about 1,004 (45)
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
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Uniformizable and realcompact bornological universes [PDF]
, 2009 Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory.
Vroegrijk, Tom
core +6 more sources
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
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Some generalized metric properties on hyperspaces with the Vietoris topology
, 2019 We study the heredity of the classes of generalized metric spaces (for example, spaces with a $σ$-hereditarily closure-preserving $k$-network, spaces with a point-countable base, spaces with a base of countable order, spaces with a point-regular base, Nagata-spaces, $c$-semi-stratifiable spaces, $γ$-spaces, semi-metrizable spaces) to the hyperspaces of
Lin, Fucai, Shen, Rongxin, Liu, Chuan
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, 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
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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
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
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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
On critical cardinalities related to $Q$-sets [PDF]
, 2014 In this note we collect some known information and prove new results about the small uncountable cardinal $\mathfrak q_0$. The cardinal $\mathfrak q_0$ is defined as the smallest cardinality $|A|$ of a subset $A\subset \mathbb R$ which is not a $Q$-set ...
Banakh, Taras +2 more
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