# A new form of fuzzy $\alpha $-compactness

Mathematica Bohemica (2006)

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

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topShi, 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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