Abstract: The purpose of the present paper is to introduce the concepts of Λsp-sets, (Λ, sp)-open sets and (Λ, sp)- closed sets which are defined by utilizing the notions of β-open sets and β-closed sets. Some characterizations of Λsp-submaximal spaces, Λsp-extremally disconnected spaces and Λsp-hyperconnected spaces are established. Moreover, several characterizations of upper and lower (Λ, sp)-continuous multifunctions are investigated.
Chawalit Boonpok, "(Λ, sp)-closed sets and related topics in topological spaces," WSEAS Transactions on Mathematics, vol. 19, pp. 312-322, 2020, DOI:10.37394/23206.2020.19.31
Chawalit Boonpok. (Λ, sp)-closed sets and related topics in topological spaces.
WSEAS Transactions on Mathematics. 2020;19:312-322. 10.37394/23206.2020.19.31