Acta Mathematica Hungarica
Volume/Issue:
Volume 113: Issue 4
Further remarks on the formula for γ-interior
Author:
Ákos Császár Eötvös Loránd University, Department of Analysis H-1117 Budapest, Pázmány P. sétány 1/C H-1117 Budapest, Pázmány P. sétány 1/C

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Pages:
325–332
Online Publication Date:
17 Nov 2006
Publication Date:
17 Dec 2006
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0109-6
Keywords:
generalized topology; ?-enlarging operation; quasi-enlarging operation; ?-friendly operation; operation; quasi-topology; weakly quasi-enlarging operation
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Summary  

There is a formula for the interior of a set in a generalized topology composed of the γ-open sets, where γ is a monotonic map in the power set of X. There are known conditions for a γ assuring that this formula is valid. The paper gives essential generalizations for these conditions and contains some applications.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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