Using the idea of ic-open sets, we introduce and investigate topological qualities an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, ic-exterior a set. Introduce concepts "ic-continuous mappings," "ic-open "ic-irresolute "ic-totally continuous "ic-homeomorphism," then look into some properties these mappings

The aim of this paper is to investigate some properties of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces. Some relationships of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces are discussed. Moreover, decompositions of continuity are provided. 2000 Mathematics Subject Classification: 54A05, 54A10, 54C08, 54C10.

In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...