ASYMMETRIC CLOPEN SETS IN THE BITOPOLOGICAL SPACES

Abstract

In the paper the behavior of clopen sets in bitopological spaces and some properties of generalized objects (e.g., (i, j)-quasi components and (i, j)-clopen compact subsets) are investigated.  By using asymmetric clopen sets we introduce new classes of (i, j)-clopen irresolute and (i, j)-weakly clopen-continuous maps.  Also, some their relations to p-ultra-Hausdorff bitopological structures are established.  Characterizations and a preserving theorem of pairwise connected spaces are obtained.