A note on [a, b]-compactness
R.E. Hodel,Jerry E. Vaughan +1 more
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In this paper, the relationship between [a, b]-compactness in the sense of open covers and complete accumulation points is studied. But the authors focus on the open covers.Abstract:
In this note we study the relationship between [a, b]-compactness in the sense of open covers, and [a, b]-compactness in the sense of complete accumulation points.read more
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Book ChapterDOI
CHAPTER 9 – Covering Properties
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TL;DR: In this article, it was shown that linear cofinal completeness implies supercompleteness, and that in metric uniform spaces (or, more generally, in uniform spaces with a linearly ordered basis) linear co-finish completeness is equivalent to co-supercompletion.
References
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Characterizations of Developable Topological Spaces
J. M. Worrell,H. H. Wicke +1 more
TL;DR: In this paper, the authors present an anslysis of the concept of developable space in terms of certain more extensive classes of spaces satisfying the first axiom of countability: spaces with a base of countable order and those having a θ-base.
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TL;DR: In this article, the authors introduce the notion of locally finite systems of sets, paracompact spaces, complete regular spaces, and continuous mappings of topological spaces and infinite dimensional spaces.
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TL;DR: In this paper, the concept of a δθ-cover was introduced to generalize Aquaro's Theorem that every point countable open cover of a topological space such that every discrete closed family of sets is countable has a countable subcover.
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Linearly ordered topological spaces
TL;DR: In this article, the equivalence of m-paracompactness and m-boundedness in the setting of linearly ordered spaces has been established by means of a characterization in terms of conditions imposed on the gaps of the space.