Abstract
In this paper, hyperconnectedness with respect to an ideal, called
hyperconnectedness modulo an ideal, of a topological space X is introduced.
It is shown that hyperconnectedness and hyperconnectedness modulo an ideal
coincide in case of trivial and codense ideal. Several characterisations of
hyperconnectedness modulo an ideal I are obtained using semi-open, pre-open
and semi-preopen sets. It is also shown that I-hyperconnectedness and
hyperconnectedness modulo I, where I is an ideal in a space X, are
equivalent. A new type of semi-open modulo ideal sets are defined and
several characterisations of hyperconnectedness modulo an ideal using these
sets are obtained.
Publisher
National Library of Serbia
Cited by
1 articles.
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1. On δ-ß-Separateness and strongly δ-ß-Connectedness and their applications;1ST SAMARRA INTERNATIONAL CONFERENCE FOR PURE AND APPLIED SCIENCES (SICPS2021): SICPS2021;2022