Results 41 to 50 of about 226 (114)
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
wiley +1 more source
New characterisations of pseudocompact spaces [PDF]
Bulletin of the Australian Mathematical Society, 1988 In this paper, we give a new characterisation of pseudo-compact spaces, namely a space X is pseudocompact if and only if each σ-point finite open cover of X has a finite subfamily whose union is dense. As a corollary, we show that every pseudocompact σ-metacompact (or screenable) space is compact, which sharpens some known results.
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Local connectedness and pseudocompactness in completely regular spaces
, 1978 The properties of local connectedness and pseudocompactness of a completely regular space X are characterized via algebraic properties of the space C ( X ) C(X) .
Donald G. Hartig
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Pseudocompactness and Closed Subsets of Products [PDF]
Proceedings of the American Mathematical Society, 1979 This paper contains several new characterizations of arbitrary pseudocompact spaces, i.e. spaces characterized by the property that all continuous real-valued functions on the space are bounded. These characterizations parallel known characterizations of Hausdorff spaces including the useful and well-known result that a space
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Boundedness and pseudocompactness in pointfree topology [PDF]
, 2019 >Magister Scientiae - MScThis dissertation is a presentation to generalize boundedness and pseudocompactness in pointfree topology. We rst obtain and introduce a boundedness notion for elements of a frame. This is then further inspiration to introduce
Alderaz, Fatma Hussien Shbani
core
A very general covering property [PDF]
, 2012 summary:We introduce a general notion of covering property, of which many classical definitions are particular instances. Notions of closure under various sorts of convergence, or, more generally, under taking kinds of accumulation points, are shown to ...
Lipparini, Paolo, Lipparini, P
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Pseudocompactness and the cozero part of a frame [PDF]
, 1996 summary:A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals. Applications are made to the congruence frame of a $\sigma$
Gilmour, Christopher +1 more
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Functions with pseudocompact support
General Topology and its Applications, 1973 AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous functions on X, CK the ideal of functions with compact support, I the intersection of the free maximal ideals of C(X), and Cψ the ideal of functions with pseudocompact support. For any space, CK ⊆ I ⊆ Cψ. When CK = I, or I = Cψ, or CK = Cψ , it is said that X
Johnson, D.G., Mandelker, Mark
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Topologies between compact and uniform convergence on function spaces
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley +1 more source
Generalized linearly ordered spaces and weak pseudocompactness [PDF]
, 1997 summary:A space $X$ is {\it truly weakly pseudocompact} if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove that if $X$ is a generalized linearly ordered space, and either (i) each proper open interval in $X$ is truly weakly ...
Okunev, O., Tamariz-Mascarúa, A.
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