IJPAM: Volume 105, No. 2 (2015)
CLUSTER TOPOLOGICAL SPACE
Department of Mathematics and Computer Science
Faculty of Education, Trnava University in Trnava
Priemyselná 4, 918 43 Trnava, SLOVAKIA
Abstract. In this paper we deals with a general concept of classification of sets in a topological space with respect to a given nonempty system of nonempty subsets of . Using system a generalization of the classical topological notions of closed, perfect, scattered, dense in itself and nowhere dense sets is introduced and studied.
Received: September 21, 2015
AMS Subject Classification: 54A05, 54E52, 54G12
Key Words and Phrases: -scattered set, -nowhere dense set, -first category set, Cantor-Bendixon theorem
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DOI: 10.12732/ijpam.v105i2.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 269 - 280