A new form of fuzzy α -compactness

Fu Gui Shi

Mathematica Bohemica (2006)

  • Volume: 131, Issue: 1, page 15-28
  • ISSN: 0862-7959

Abstract

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A new form of α -compactness is introduced in L -topological spaces by α -open L -sets and their inequality where L is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice L . It can also be characterized by means of α -closed L -sets and their inequality. When L is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable α -compactness and the α -Lindelöf property are also researched.

How to cite

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Shi, Fu Gui. "A new form of fuzzy $\alpha $-compactness." Mathematica Bohemica 131.1 (2006): 15-28. <http://eudml.org/doc/249904>.

@article{Shi2006,
abstract = {A new form of $\alpha $-compactness is introduced in $L$-topological spaces by $\alpha $-open $L$-sets and their inequality where $L$ is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice $L$. It can also be characterized by means of $\alpha $-closed $L$-sets and their inequality. When $L$ is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable $\alpha $-compactness and the $\alpha $-Lindelöf property are also researched.},
author = {Shi, Fu Gui},
journal = {Mathematica Bohemica},
keywords = {$L$-topology; compactness; $\alpha $-compactness; countable $\alpha $-compactness; $\alpha $-Lindelöf property; $\alpha $-irresolute map; $\alpha $-continuous map; -topology; compactness},
language = {eng},
number = {1},
pages = {15-28},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new form of fuzzy $\alpha $-compactness},
url = {http://eudml.org/doc/249904},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Shi, Fu Gui
TI - A new form of fuzzy $\alpha $-compactness
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 1
SP - 15
EP - 28
AB - A new form of $\alpha $-compactness is introduced in $L$-topological spaces by $\alpha $-open $L$-sets and their inequality where $L$ is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice $L$. It can also be characterized by means of $\alpha $-closed $L$-sets and their inequality. When $L$ is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable $\alpha $-compactness and the $\alpha $-Lindelöf property are also researched.
LA - eng
KW - $L$-topology; compactness; $\alpha $-compactness; countable $\alpha $-compactness; $\alpha $-Lindelöf property; $\alpha $-irresolute map; $\alpha $-continuous map; -topology; compactness
UR - http://eudml.org/doc/249904
ER -

References

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