Results 11 to 20 of about 427 (213)

Extremally disconnected sets in groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
It is shown that every extremally disconnected compact set in a LCA group is an S H SH -set.
Sadahiro Saeki
core   +3 more sources

Homogeneous Subspaces of Products of Extremally Disconnected Spaces [PDF]

open access: yesTopology and its Applications, 2018
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.
Reznichenko, Evgenii
core   +3 more sources

Fuzzy Nano z-locally Closed Sets, Extremally Disconnected Spaces, Normal Spaces, and Their Application

open access: yesAdvances in Fuzzy Systems, 2022
In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp.
R. Thangammal   +6 more
doaj   +2 more sources

A Topological Approach to Full Belief [PDF]

open access: yesJ Philos Logic, 2018
Stalnaker (Philosophical Studies, 128(1), 169–199 2006) introduced a combined epistemic-doxastic logic that can formally express a strong concept of belief, a concept of belief as ‘subjective certainty’.
Nick Bezhanishvili   +9 more
core   +2 more sources

A homogeneous extremally disconnected countably compact space

open access: yesTopology and Its Applications, 1987
It is well known that no infinite homogeneous space is both compact and extremally disconnected. (Since there are infinite compact homogeneous spaces and infinite extremally disconnected homogeneous spaces, it is the combination of compactness and ...
W W Comfort, Jan Van Mill
exaly   +2 more sources

A study of extremally disconnected topological spaces [PDF]

open access: yesBulletin 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
exaly   +3 more sources

Dynamical systems on compact extremally disconnected spaces

open access: yesTopology and Its Applications, 1991
We consider extremally disconnected compact spaces together with the semigroups of all self- embeddings and the groups of all autohomeomorphisms. The characterizations of minimality and ergodicity of these dynamical systems are given.
Alan Dow
exaly   +2 more sources

Results about the Alexandroff duplicate space

open access: yesApplied General Topology, 2016
In this paper, we present some new results about the  Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally ...
Khulod Almontashery, Lutfi Kalantan
doaj   +3 more sources

The k-Extremally Disconnected Spaces as Projectives

open access: yesCanadian 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.
Henry B. Cohen
core   +2 more sources

Extremally disconnected topological groups

open access: yesJournal and proceedings of the Royal Society of New South Wales, 1974
Volume: 107Start Page: 114End Page ...
Van Der Poorten, Alfred Jacobus   +1 more
core   +2 more sources

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