Geodesic
Degenerated topological spaces
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2.

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By using the compositions of interior and closure operators on a topological space we can get at most seven different operators. Topological spaces in which the number of different operators obtained in this way is strictly smaller than seven are called degenerated spaces. This paper provides insight about properties of the degenerated spaces, and introduces some new characterizations of them.
Publié le :
DOI : 10.30755/NSJOM.08651
Classification : 54A05, 54B99, 54G99
Keywords: Kuratowski closure complement theorem, degenerated topological spaces, k-number, K-number 
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     author = {Bojan Nikoli\'c},
     title = {Degenerated topological spaces},
     journal = {Novi Sad Journal of Mathematics},
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     year = {2019},
     doi = {10.30755/NSJOM.08651},
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Bojan Nikolić. Degenerated topological spaces. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2. doi : 10.30755/NSJOM.08651. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08651/

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