Results 21 to 30 of about 98 (95)
Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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Minimal extremally disconnected Hausdorff spaces
General Topology and its Applications, 1978 AbstractExtremally disconnected Hausdorff (abbreviated EDH) spaces that have no strictly coarser EDH topology are called minimal EDH. In this paper minimal EDH spaces are characterized in terms of the Stone-Čech compactification of such spaces. This characterization simplifies for locally compact EDH spaces X as follows: X is minimal EDH if and only if
Porter, Jack R., Woods, R.Grant
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Measure-theoretic characterizations of hereditarily-normal spaces
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.
Joseph Hertzlinger
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Homogeneous subspaces of products of extremally disconnected spaces [PDF]
Topology and its Applications, 2020 Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space are finite. Moreover, under CH, all compact subsets of homogeneous subspaces of any finite power of an extremally ...
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Extremally disconnected spaces, subspaces and retracts
Topology and its Applications, 1993 There is the problem of a satisfactory characterization of the class \(k\)- ED of compact subspaces of extremally disconnected (ED) spaces. An early conjecture of Choquet -- that \(k\)-ED coincides with the class of compact 0-dimensional \(F\)-spaces -- has been shown by \textit{E. K. van Douwen} and \textit{J. van Mill} [Trans. Am. Math. Soc. 259, 121-
Dow, A., Vermeer, J.
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On Commutative Reduced Baer Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2004 It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
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Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces [PDF]
Mathematica Bohemica, 2008 Summary: A new class of fuzzy topological spaces called pairwise ordered fuzzy extremally disconnected spaces is introduced. The Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces is discussed as in the paper of \textit{T. Kubiak} [J. Math. Anal. Appl.
Uma, M. K. +2 more
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A study of extremally disconnected topological spaces [PDF]
Bulletin of Mathematical Sciences, 2011 Throughout, all spaces are assumed to be Tychonoff. A space \(X\) is \textit{extremally disconnected} (\textit{e.d.}~for short) if open subsets of \(X\) have open closures. Any discrete space is a prototypical example of an e.d.~space, though a plethora of non-discrete extremally disconnected spaces is present in mathematics. Let us just mention a fact
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£-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces [PDF]
Symmetry, 2020 This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed.
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A homogeneous extremally disconnected countably compact space
Topology and its Applications, 1987 The authors prove (in ZFC) that there exist infinite homogeneous countably compact extremally disconnected spaces. (This contrasts to the previously known result that infinite homogeneous compact extremally disconnected spaces do not exist). They also produce, using Martin's axiom, two countably compact homogeneous extremally disconnected spaces whose ...
Comfort, W.W., van Mill, Jan
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