Abstract:

A mathematical discipline assembling the topology and group is called the topological group. This discipline has very significant applications in almost all branches of natural sciences. In our arrangement operations of multiplicity and inverse on the continuity and its general forms will be discussed. The study of this weaker form of continuity with topological groups started in 1990s. Twenty-thirty years ago more interesting results relating to the discipline discussed in literature. In our paper, semi quotient mappings and spaces properties are developed by the change of topology where the notion of semi quotient topology built the interest. Results describes the more interest in our work with the contribution of extremally disconnected concept where the quotient space J/N with this topology sτQ has surprisingly moved to an s−topological group.

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