Results 181 to 190 of about 4,438,790 (210)
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Canadian Mathematical Bulletin, 1973
In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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In 1962, J. M. G. Fell [5] indicated the important role played by certain topological spaces which, though locally compact in a specialized sense, do not, in general, satisfy even the weakest separation axiom. He called them "locally compact". These were called "punktal kompakt" by Flachsmeyer [6] and to avoid confusion, we shall call them pointwise ...
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Rendiconti del Circolo Matematico di Palermo, 2005
A minimal structure \(m\) on a set \(X\) is a subset of the power set of \(X\) such that \(\varnothing,X\in m\). Compactness and continuity of topological spaces, as well as a number of other notions such as Hausdorff and regular, extend in the obvious way to minimal structures by replacing the topology by any minimal structure.
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A minimal structure \(m\) on a set \(X\) is a subset of the power set of \(X\) such that \(\varnothing,X\in m\). Compactness and continuity of topological spaces, as well as a number of other notions such as Hausdorff and regular, extend in the obvious way to minimal structures by replacing the topology by any minimal structure.
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The Space of Metrics on a Compact Metrizable Space
American Journal of Mathematics, 1944Not ...
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1989
Let \(\mathcal U\) and \(\mathcal V\) be open covers of a space \(X\). \(\mathcal V\) is a shrinkable refinement of \(\mathcal U\) [the reviewer with \textit{M. P. Berri} and \textit{R. M. Stephenson jun.}, Proc. Kanpur Topol. Conf. 1968, 93--114 (1971; Zbl 0235.54018)] if for each \(V\in{\mathcal V}\), there is a \(U\in{\mathcal U}\) such that \(\text{
CAMMAROTO, Filippo, TAKASHI NOIRI
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Let \(\mathcal U\) and \(\mathcal V\) be open covers of a space \(X\). \(\mathcal V\) is a shrinkable refinement of \(\mathcal U\) [the reviewer with \textit{M. P. Berri} and \textit{R. M. Stephenson jun.}, Proc. Kanpur Topol. Conf. 1968, 93--114 (1971; Zbl 0235.54018)] if for each \(V\in{\mathcal V}\), there is a \(U\in{\mathcal U}\) such that \(\text{
CAMMAROTO, Filippo, TAKASHI NOIRI
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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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When is a cellular-countably-compact space, countably compact?
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2023Richard Wilson, Ofelia T Alas
exaly
Embedding weakly compact sets into Hilbert space
Israel Journal of Mathematics, 1976Y Benyamini
exaly
THE COMPACTING OF TOPOLOGICAL SPACES
The Quarterly Journal of Mathematics, 1948openaire +2 more sources