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On Hausdorff Spaces via Topological Ideals and I‐irresolute Functions
Author(s) -
DONTCHEV JULIAN
Publication year - 1995
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1995.tb55891.x
Subject(s) - hausdorff space , separation axiom , topological space , mathematics , pure mathematics , axiom , function (biology) , urysohn and completely hausdorff spaces , topology (electrical circuits) , combinatorics , hausdorff measure , hausdorff dimension , geometry , evolutionary biology , biology
In this paper I ‐open sets are used to introduce a new weak separation axiom and a new type of function. Some of the basic properties of I ‐Hausdorff spaces and I ‐irresolute functions, as well as the connections between them are investigated.