Open Access$p$-$\mathcal{I}$-generator and $p_1$-$\mathcal{i}$-generator in bitopology
Author(s) -
Santanu Acharjee,
Binod Chandra Tripathy
Publication year - 2018
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v36i2.29377
Subject(s) - generator (circuit theory) , space (punctuation) , ideal (ethics) , product (mathematics) , mathematics , compact space , topology (electrical circuits) , discrete mathematics , pure mathematics , physics , computer science , combinatorics , philosophy , quantum mechanics , geometry , epistemology , power (physics) , operating system
In this article we have investigated the relations of $p$-$\mathcal{I}$-generator, $p_1$-$\mathcal{I}$-generator with $p$-Lindel\"{o}f and $p_1$-Lindel\"{o}f using $\tau_i$-codense, $(i,j)$-meager, $(i,j)$-nowhere dense and perfect mapping of bitopological space. The relations between $p$-compactness, $p$-Lindel\"{o}fness, $p_1$-Lindel\"{o}fness and topological ideal, $(i,j)$-meager, $(i,j)$-Baire space in bitopological space are investigated. Some properties are studied on product bitopology using perfect mapping. It can be found that bitopological space has many applications in real life problems. Hence, we hope that this theory will help to fulfill some interlinks which may have applications in near future