HC-convergence theory of $L$-nets and $L$-ideals and some of its applications

Nouh, A. A.. "HC-convergence theory of $L$-nets and $L$-ideals and some of its applications." Mathematica Bohemica 128.4 (2003): 349-366. <http://eudml.org/doc/249213>.

@article{Nouh2003,
abstract = {In this paper we introduce and study the concepts of $\operatorname\{\text\{HC\}\}$-closed set and $\operatorname\{\text\{HC\}\}$-limit ($\operatorname\{\text\{HC\}\}$-cluster) points of $L$-nets and $L$-ideals using the notion of almost $N$-compact remoted neighbourhoods in $L$-topological spaces. Then we introduce and study the concept of $\operatorname\{\text\{HL\}\}$-continuous mappings. Several characterizations based on $\operatorname\{\text\{HC\}\}$-closed sets and the $\operatorname\{\text\{HC\}\}$-convergence theory of $L$-nets and $L$-ideals are presented for $\operatorname\{\text\{HL\}\}$-continuous mappings.},
author = {Nouh, A. A.},
journal = {Mathematica Bohemica},
keywords = {$L$-topology; remoted neighbourhood; almost $N$-compactness; $\operatorname\{\text\{HC\}\}$-closed set; $\operatorname\{\text\{HL\}\}$-continuity; $L$-net; $L$-ideal; $\operatorname\{\text\{HC\}\}$-convergence theory; -topology; remote neighbourhood; almost -compactness; -closed set; -continuity; -net; -ideal; -convergence theory},
language = {eng},
number = {4},
pages = {349-366},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {HC-convergence theory of $L$-nets and $L$-ideals and some of its applications},
url = {http://eudml.org/doc/249213},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Nouh, A. A.
TI - HC-convergence theory of $L$-nets and $L$-ideals and some of its applications
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 4
SP - 349
EP - 366
AB - In this paper we introduce and study the concepts of $\operatorname{\text{HC}}$-closed set and $\operatorname{\text{HC}}$-limit ($\operatorname{\text{HC}}$-cluster) points of $L$-nets and $L$-ideals using the notion of almost $N$-compact remoted neighbourhoods in $L$-topological spaces. Then we introduce and study the concept of $\operatorname{\text{HL}}$-continuous mappings. Several characterizations based on $\operatorname{\text{HC}}$-closed sets and the $\operatorname{\text{HC}}$-convergence theory of $L$-nets and $L$-ideals are presented for $\operatorname{\text{HL}}$-continuous mappings.
LA - eng
KW - $L$-topology; remoted neighbourhood; almost $N$-compactness; $\operatorname{\text{HC}}$-closed set; $\operatorname{\text{HL}}$-continuity; $L$-net; $L$-ideal; $\operatorname{\text{HC}}$-convergence theory; -topology; remote neighbourhood; almost -compactness; -closed set; -continuity; -net; -ideal; -convergence theory
UR - http://eudml.org/doc/249213
ER -