Results 11 to 20 of about 310 (202)
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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F-points in countably compact spaces
Applied General Topology, 2001 Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Angelo Bella, V.I. Malykhin
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The k-Extremally Disconnected Spaces as Projectives
Canadian Journal of Mathematics, 1964 The letter k denotes an infinite cardinal. A space is a compact Hausdorff space unless otherwise indicated. A space is called extremally disconnected (k-extremally disconnected) if it is the Stone space for a complete (k-complete) Boolean algebra. A map is a continuous function from one space into another.
Henry B. Cohen
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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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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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Dynamical systems on compact extremally disconnected spaces
Topology and Its Applications, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alan Dow
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On some classes of sets in extremally disconnected spaces
Demonstratio Mathematica, 2011 Abstract In the present paper several characterizations of the classical notion of extremally disconnected spaces are obtained. A few relationships for finite products of extremally disconnected spaces are also studied.
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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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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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