Results 41 to 50 of about 116 (111)
Coloring Cantor sets and resolvability of pseudocompact spaces [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 Let us denote by $ ( , )$ the statement that $\mathbb{B}( ) = D( )^ $, i.e. the Baire space of weight $ $, has a coloring with $ $ colors such that every homeomorphic copy of the Cantor set $\mathbb{C}$ in $\mathbb{B}( )$ picks up all the $ $ colors. We call a space $X\,$ {\em $ $-regular} if it is Hausdorff and for every non-empty open set $
Juhász, István +2 more
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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
wiley +1 more source
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
wiley +1 more source
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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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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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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Some topologies on the set of lattice regular measures
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 681-695, 1992., 1990 We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).
Panagiotis D. Stratigos
wiley +1 more source
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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