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On I-Extremally Disconnected Spaces

open access: yes, 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.
Yüksel, Şaziye   +2 more
core   +2 more sources

Minimal extremally disconnected Hausdorff spaces

open access: yesGeneral Topology and its Applications, 1978
Extremally 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.
Woods, R.Grant, Porter, Jack R.
core   +3 more sources

On some properties of the space of minimal prime ideals of 𝐶𝑐 (𝑋) [PDF]

open access: yesCategories 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
doaj   +1 more source

Extremally disconnected spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
Dona Papert Strauss
core   +3 more sources

The nonexistence of extremally disconnected free topological groups

open access: yesTopology and Its Applications, 2013
An old question of Arkhangel'skii's asks whether a nondiscrete extremally disconnected topological group can be constructed in \(ZFC\). The author proves that, given a topological space \(X\), if there is an extremally disconnected group topology on the free Boolean group \(B(X)\) which satisfies an additional natural condition, then either \(X\) is a \
exaly   +3 more sources

Disconnection in the Alexandroff duplicate

open access: yesApplied General Topology, 2021
It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space ...
Papiya Bhattacharjee   +2 more
doaj   +1 more source

Alexandroff duplicate and βκ

open access: yesApplied General Topology, 2022
We discuss spaces and the Alexandroff duplicates of those spaces that admit a Č-S embedding into the Čech-Stone compactification of a discrete space.
Andrzej A Szymanski
doaj   +1 more source

A CHARACTERIZATION OF BAER-IDEALS [PDF]

open access: yesJournal of Algebraic Systems, 2014
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
doaj   +1 more source

The extremal function for disconnected minors

open access: yesJournal of Combinatorial Theory, Series B, 2017
For a graph $H$ let $c(H)$ denote the supremum of $|E(G)|/|V(G)|$ taken over all non-null graphs $G$ not containing $H$ as a minor. We show that $$c(H) \leq \frac{|V(H)|+\mathrm{comp}(H)}{2}-1,$$ when $H$ is a union of cycles, verifying conjectures of Reed and Wood, and Harvey and Wood.
Endre Csóka   +4 more
openaire   +4 more sources

A Note On Neutrosophic Chaotic Continuous Functions [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

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