TY - GEN
T1 - S-Metacompact Spaces
AU - Thankachan, Baiju
N1 - Publisher Copyright:
© 2021, Springer Nature Singapore Pte Ltd.
PY - 2021
Y1 - 2021
N2 - Semi-open sets in topological spaces was introduced by Levine in 1963. In 2006, Al-Zoubi introduced the concept of S-paracompact spaces using locally finite semi-open refinement and studied some characterizations and basic properties of S-paracompact spaces. In this paper we introduce the class of S-metacompact spaces as a generalization of metacompact spaces using point finite semi-open refinements. A topological space (X, τ) is said to be S-metacompact if every open cover of X has a point finite semi-open refinement. Moreover we obtain a characterization of S-metacompact spaces and study some basic properties of S-metacompact spaces. Also we investigate the relationship between S-metacompact spaces and metacompact spaces.
AB - Semi-open sets in topological spaces was introduced by Levine in 1963. In 2006, Al-Zoubi introduced the concept of S-paracompact spaces using locally finite semi-open refinement and studied some characterizations and basic properties of S-paracompact spaces. In this paper we introduce the class of S-metacompact spaces as a generalization of metacompact spaces using point finite semi-open refinements. A topological space (X, τ) is said to be S-metacompact if every open cover of X has a point finite semi-open refinement. Moreover we obtain a characterization of S-metacompact spaces and study some basic properties of S-metacompact spaces. Also we investigate the relationship between S-metacompact spaces and metacompact spaces.
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U2 - 10.1007/978-981-16-4772-7_14
DO - 10.1007/978-981-16-4772-7_14
M3 - Conference contribution
AN - SCOPUS:85113319956
SN - 9789811647710
T3 - Communications in Computer and Information Science
SP - 186
EP - 191
BT - Computational Sciences – Modelling, Computing and Soft Computing - First International Conference, CSMCS 2020, Revised Selected Papers
A2 - Awasthi, Ashish
A2 - John, Sunil Jacob
A2 - Panda, Satyananda
PB - Springer Science and Business Media Deutschland GmbH
T2 - 1st International Conference on Computational Sciences - Modelling, Computing and Soft Computing, CSMCS 2020
Y2 - 10 September 2020 through 12 September 2020
ER -