Infra -β - Closed (Open) Sets : New Characterization and Applications

摘要

As applications on infra − β − open set for new classes ofmappings and new concepts topological spaces are introduced, namely,infra- β−continuous, infra−β−irresolute, infra−β−open(closed)mapping, infra − β − τi (i = 0, 1, 2, 3, 4), infra − β − compact andinfra − β − connected space. Some of special results and propertieswhich belong to these various applications are established and studied.Moreover, the relations and opposite relations between these new concepts and others are discussed and counter examples are given in order toinvestigate opposite relations.