H-hyperconnected spaces

M. Zahiruddin Sheriff and A. P. Ponraj

Research Scholar,
Meenakshi Academy of Higher Education and Research, Chennai, INDIA.
Associate Professor,
The New College, Chennai, INDIA.


The aim of this Study is to analysis the H?hyperconnected spaces and in H?hyperconnected spaces properties of various sets are established. H?hyperconnected spaces and TH - spaces are defined. H?hyperconnected spaces and strong β?H - open sets are characterized.

2010 Mathematics subject classification: 54A05, 54A10.

Keywords :generalized topological space, quasi topological space, hereditary class, κ-semi open, κ?codense sets and ?κ - dense, nowhere ?κ - dense sets.

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