Results 51 to 60 of about 116 (102)
On weighted spaces without a fundamental sequence of bounded sets
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 449-457, 2002., 2002 The problem of countably quasi‐barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi‐barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler (1986), though with a similar approach, we drop the ...
J. O. Olaleru
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On complemented copies of the space c0 in spaces Cp(X,E)$C_p(X,E)$
Mathematische Nachrichten, Volume 297, Issue 2, Page 644-656, February 2024.Abstract We study the question for which Tychonoff spaces X and locally convex spaces E the space Cp(X,E)$C_p(X,E)$ of continuous E‐valued functions on X contains a complemented copy of the space (c0)p={x∈Rω:x(n)→0}$(c_0)_p=\lbrace x\in \mathbb {R}^\omega : x(n)\rightarrow 0\rbrace$, both endowed with the pointwise topology.
Christian Bargetz +2 more
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Outer measures associated with lattice measures and their application
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 725-734, 1995., 1994 Consider a set X and a lattice ℒ of subsets of X such that ϕ, X ∈ ℒ. M(ℒ) denotes those bounded finitely additive measures on A(ℒ) which are studied, and I(ℒ) denotes those elements of M(ℒ) which are 0 − 1 valued. Associated with a μ ∈ M(ℒ) or a μ ∈ Mσ(ℒ) (the elements of M(ℒ) which are σ‐smooth on ℒ) are outer measures μ′ and μ″.
Charles Traina
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Embeddings into pseudocompact spaces of countable tightness
Topology and its Applications, 2004 Under the existence of scales of cardinality \(\omega_1\) which is implied by CH, the following important result is proved. Let \({\mathfrak F}\) be a free filter on \(\omega\). We assume that \({\mathfrak F}\) has a base which is well ordered by \(\subset^*\) of type \(\omega_1\).
BELLA, Angelo, PAVLOV O. I.
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The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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Pseudocompact rectifiable spaces
Topology and its Applications, 2014 A (Hausdorff) topological group \(G\) is called a rectifiable space if there are a homeomorphism \(\varphi : G\times G \rightarrow G\times G\) and an element \(e \in G\) such that \(\pi_1 \circ \varphi =\pi_1\) and for every \(x\in G\) it holds that \(\varphi (x,x)=(x,e)\), where \(\pi_1 : G\times G \rightarrow G\) denotes the projection onto the first
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Pseudocompact metacompact spaces are compact [PDF]
Proceedings of the American Mathematical Society, 1981 In 1950, Arens and Dugundji [1] defined metacompact spaces and showed (A) countably compact metacompact spaces are compact. It was known by then that paracompact spaces are normal and that normal pseudocompact spaces are countably compact. Since paracompact spaces are metacompact, (A) also showed (B) pseudocompact paracompact spaces are compact.
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The group of characters of a pseudocompact locally compact semitopological semigroup
Applied General TopologyWe prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
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Pseudocomplete and weakly pseudocompact spaces
Topology and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sánchez-Texis, Fernando, Okunev, Oleg
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