Results 241 to 250 of about 4,759,530 (282)
Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]
J Evol EquDenk R, Roodenburg FB.
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Applied Categorical Structures, 2005
The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) with the compact-open topology is not locally compact for any space \(X\) having a nonconstant path of closed points. For a \(T_1\)-space, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) with the compact-open topology is not locally compact for any space \(X\) having a nonconstant path of closed points. For a \(T_1\)-space, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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Locally compact, ω1-compact spaces
Annals of Pure and Applied LogicAn $ω_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $ω_1$-compact space is $σ$-countably compact, i.e., the union of countably many countably compact spaces. These conditions involve very elementary properties.
Peter Nyikos, Lyubomyr Zdomskyy
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On the local compactness of spaces of positive measures
Statistics & Probability Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On computably locally compact Hausdorff spaces
Mathematical Structures in Computer Science, 2009Locally compact Hausdorff spaces generalise Euclidean spaces and metric spaces from ‘metric’ to ‘topology’. But does the effectivity on the latter (Brattka and Weihrauch 1999; Weihrauch 2000) still hold for the former? In fact, some results will be totally changed.
Yatao Xu, Tanja Grubba
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1995
A topological space is locally compact if every point has an open nbhd with compact closure. Clearly, compact spaces and closed subspaces of locally compact spaces are locally compact. Products of finitely many locally compact spaces are locally compact iff all but finitely many of the factors are compact.
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A topological space is locally compact if every point has an open nbhd with compact closure. Clearly, compact spaces and closed subspaces of locally compact spaces are locally compact. Products of finitely many locally compact spaces are locally compact iff all but finitely many of the factors are compact.
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1950
In this section we shall derive a few auxiliary topological results which, because of their special nature, are usually not discussed in topology books.
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In this section we shall derive a few auxiliary topological results which, because of their special nature, are usually not discussed in topology books.
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About Weakly Locally Compact Spaces
2004In an L-topological space we present good definitions for weak local compactness. We obtain the regularity and a one point compactification theorem for weakly locally compact spaces.
Kudri, SRT +2 more
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Computability on Subsets of Locally Compact Spaces
2007In this paper we investigate aspects of effectivity and computability on closed and compact subsets of locally compact spaces. We use the framework of the representation approach, TTE, where continuity and computability on finite and infinite sequences of symbols are defined canonically and transferred to abstract sets by means of notations and ...
Yatao Xu, Tanja Grubba
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