Results 11 to 20 of about 363 (203)
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
Arhangel'Skii Alexander
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Measure-theoretic characterizations of hereditarily-normal spaces [PDF]
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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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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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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£-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.
Fahad Alsharari
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On I-Extremally Disconnected Spaces
, 2007 We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I-extremally ...
Keskin, Aynur +2 more
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On minimal π-character of points in extremally disconnected compact spaces
Topology and its Applications, 1991 The refinement number \(r({\mathcal B})\) of a Boolean algebra \(\mathcal B\) is the minimal power of a set \(X\subset {\mathcal B}^ +\) such that for every \(a\in {\mathcal B}^ +\) there exists some \(x\in X\) such that either \(x\leq a\) or \(x\wedge a=0\). Similarly, \(r_{\text{fin}}({\mathcal B})=\min\{| X| : X\subset{\mathcal B}^ +\) and for every
Balcar, Bohuslav, Simon, Petr
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On some properties of the space of minimal prime ideals of 𝐶𝑐 (𝑋) [PDF]
Categories and General Algebraic Structures with Applications, 2022 In this article we consider some relations between the topological properties of the spaces X and Min(Cc (X)) with algebraic properties of Cc (X). We observe that the compactness of Min(Cc (X)) is equivalent to the von-Neumann regularity of qc (X ...
Zahra Keshtkar +3 more
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A Note On Neutrosophic Chaotic Continuous Functions [PDF]
Neutrosophic Sets and Systems, 2019 Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy.
T. Madhumathi +2 more
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ON /-EXTREMALLY DISCONNECTED SPACES
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1999 Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I ...
KESKİN, Aynur +2 more
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