Results 31 to 40 of about 116 (111)
On RG-spaces and the regularity degree
Applied General Topology, 2006 We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points.
R. Raphael, R.G. Woods
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Irreducible morphisms, the Gabriel‐valued quiver and colocalizations for coalgebras
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Given a basic K‐coalgebra C, we study the left Gabriel‐valued quiver (QC, dC) of C by means of irreducible morphisms between indecomposable injective left C‐comodules and by means of the powers radm of the radical rad of the category C‐inj of the socle‐finite injective left C‐comodules. Connections between the valued quiver (QC, dC) of C and the valued
Daniel Simson
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A note on pseudobounded paratopological groups
Topological Algebra and its Applications, 2014 Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if forevery neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn).
Lin Fucai, Lin Shou, Sánchez Iván
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Baire spaces, k‐spaces, and some properly hereditary properties
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 22, Page 3697-3701, 2005., 2005 A topological property is properly hereditary property if whenever every proper subspace has the property, the whole space has the property. In this note, we will study some topological properties that are preserved by proper subspaces; in fact, we will study the following topological properties: Baire spaces, second category, sequentially compact ...
Adnan Al-Bsoul
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Applied General Topology, 2008 In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-
Anna Maria Miranda
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Pseudocompact Spaces and Functionally Determined Uniformities [PDF]
Proceedings of the American Mathematical Society, 1976 A topological space is pseudocompact if and only if every admissible uniformity is functionally determined. We construct, on the discrete countable space N N , an admissible (pseudo)-metric uniformity which is not functionally determined.
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An operation on topological spaces
Applied General Topology, 2000 A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied ...
A.V. Arhangelskii
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A metrisation theorem for pseudocompact spaces [PDF]
Bulletin of the Australian Mathematical Society, 2001 In this paper we prove that a completely regular pseudocompact space with a quasi-regular-Gδ-diagonal is metrisable.
Good, Chris, Mohamad, A. M.
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Functions on products of pseudocompact spaces [PDF]
Topology and its Applications, 2022 For every natural number $ n $, any continuous function on the product of $ X_1 \times X_2 \times ... \times X_n $ pseudocompact spaces extends to a separately continuous function on the product $ βX_1 \times βX_2 \times ... \times βX_n $ of their Stone-Cech compactifications.
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Compact‐calibres of regular and monotonically normal spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 4, Page 209-216, 2002., 2002 A topological space has calibre ω1 (resp., calibre (ω1, ω)) if every point‐countable (resp., point‐finite) collection of nonempty open sets is countable. It has compact‐calibre ω1 (resp., compact‐calibre (ω1, ω)) if, for every family of uncountably many nonempty open sets, there is some compact set which meets uncountably many (resp., infinitely many ...
David W. Mcintyre
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