Further new generalized topologies via mixed constructions due to Császár

Erdal Ekici

Mathematica Bohemica (2015)

  • Volume: 140, Issue: 1, page 1-9
  • ISSN: 0862-7959

Abstract

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The theory of generalized topologies was introduced by Á. Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á. Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á. Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called μ 12 C via mixed constructions based on two generalized topologies μ 1 and μ 2 on a nonempty set X and also generalized topologies called μ C and μ * C for a generalized topological space ( X , μ ) .

How to cite

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Ekici, Erdal. "Further new generalized topologies via mixed constructions due to Császár." Mathematica Bohemica 140.1 (2015): 1-9. <http://eudml.org/doc/269882>.

@article{Ekici2015,
abstract = {The theory of generalized topologies was introduced by Á. Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á. Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á. Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called $\mu _\{12\}^\{C\}$ via mixed constructions based on two generalized topologies $\mu _\{1\}$ and $\mu _\{2\}$ on a nonempty set $X$ and also generalized topologies called $\mu _\{C\}$ and $\mu _\{\ast \}^\{C\}$ for a generalized topological space $(X,\mu )$.},
author = {Ekici, Erdal},
journal = {Mathematica Bohemica},
keywords = {mixed construction; generalized topology; generalized topological space; weak generalized topology; countable subcover; $\mu _\{12\}^\{C\}$-open set; $\mu _\{C\}$-open set; $\mu _\{\ast \}^\{C\}$-open set; countable set; mixed construction; generalized topology; weak generalized topology; $\mu _\{12\}^C$-open set; $\mu _C$-open set; $\mu _*^C$-open set},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Further new generalized topologies via mixed constructions due to Császár},
url = {http://eudml.org/doc/269882},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Ekici, Erdal
TI - Further new generalized topologies via mixed constructions due to Császár
JO - Mathematica Bohemica
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 140
IS - 1
SP - 1
EP - 9
AB - The theory of generalized topologies was introduced by Á. Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á. Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á. Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called $\mu _{12}^{C}$ via mixed constructions based on two generalized topologies $\mu _{1}$ and $\mu _{2}$ on a nonempty set $X$ and also generalized topologies called $\mu _{C}$ and $\mu _{\ast }^{C}$ for a generalized topological space $(X,\mu )$.
LA - eng
KW - mixed construction; generalized topology; generalized topological space; weak generalized topology; countable subcover; $\mu _{12}^{C}$-open set; $\mu _{C}$-open set; $\mu _{\ast }^{C}$-open set; countable set; mixed construction; generalized topology; weak generalized topology; $\mu _{12}^C$-open set; $\mu _C$-open set; $\mu _*^C$-open set
UR - http://eudml.org/doc/269882
ER -

References

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  1. Császár, Á., 10.1023/A:1019713018007, Acta Math. Hung. 96 (2002), 351-357. (2002) Zbl1006.54003MR1922680DOI10.1023/A:1019713018007
  2. Császár, Á., 10.1023/B:AMHU.0000034362.97008.c6, Acta Math. Hung. 104 (2004), 63-69. (2004) Zbl1059.54003MR2069962DOI10.1023/B:AMHU.0000034362.97008.c6
  3. Császár, Á., 10.1007/s10474-005-0005-5, Acta Math. Hung. 106 (2005), 53-66. (2005) Zbl1076.54500MR2127051DOI10.1007/s10474-005-0005-5
  4. Császár, Á., 10.1007/s10474-008-8002-0, Acta Math. Hung. 122 (2009), 153-159. (2009) Zbl1199.54003MR2487467DOI10.1007/s10474-008-8002-0
  5. Ekici, E., Roy, B., 10.1007/s10474-010-0050-6, Acta Math. Hung. 132 (2011), 117-124. (2011) Zbl1240.54006MR2805482DOI10.1007/s10474-010-0050-6
  6. Min, W. K., 10.1007/s10474-005-0218-7, Acta Math. Hung. 108 (2005), 171-181. (2005) Zbl1082.54504MR2155250DOI10.1007/s10474-005-0218-7
  7. Devi, V. Renuka, Sivaraj, D., On δ -sets in γ -spaces, Filomat 22 (2008), 97-106. (2008) MR2482654
  8. Száz, Á., 10.2298/FIL0701087S, Filomat 21 (2007), 87-97. (2007) Zbl1199.54164MR2311042DOI10.2298/FIL0701087S

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