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Properties of L-Extremally Disconnected Spaces

2010
The concept of L-extremally disconnected spaces is introduced and investigated in this paper, which is the generalization of the concept of fuzzy extremally disconnected spaces due to Ghosh. In L-extremally disconnected spaces, it is proved that the concepts of semi-open, pre-open and alpha-open sets are uniform. We will also show that two theorems are
Ji-shu Cheng, Shui-li Chen
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A note on mappings of extremally disconnected spaces

Acta Mathematica Hungarica, 1985
The author studies relationships between various generalizations of continuous mappings and open mappings. In particular semi-continuous and pre-open mappings are studied. A mapping f:X\(\to Y\) is called semi- continuous if \(f^{-1}(U)\subset cl Int f^{-1}(U)\) for every open set \(U\subset Y\) whereas it is pre-open if f(V)\(\subset Int cl f(V)\) for
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Extremally Disconnected Compact Hausdorff Reflection

Annals of the New York Academy of Sciences, 1992
The rounding of o‐filters is introduced and this concept is used to construct an extremally disconnected compact Hausdorff reflection for a given extremally disconnected space. Some characterizations of such spaces have been obtained in terms of the rounding of o‐filters. Furthermore, relations between prime o‐filters, round o‐filters, ultra o‐filters,
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£-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces

Symmetry, 2021
Fahad Alsharari
exaly

A SPACE WITH A UNIQUE EXTREMALLY DISCONNECTED POINT

Russian Mathematical Surveys, 1978
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On the cardinality and structure of extremally disconnected groups with linear topology

Topology and Its Applications, 2023
Ol'Ga Sipacheva
exaly

On Generalizations of Extremally Disconnected Spaces

Journal of Advanced Research in Pure Mathematics, 2012
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Complemented ideals and extremally disconnected spaces

Archiv der Mathematik, 1961
Johnson, D. G., Kist, J. E.
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Dynamical systems on compact extremally disconnected spaces

Topology and Its Applications, 1991
Alan Dow
exaly