Open AccessMinimal bases and minimal sub-bases for topological spaces
Author(s) -
Yiliang Li,
Jinjin Li,
June Feng,
Hongkun Wang
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1907957l
Subject(s) - mathematics , topological space , base (topology) , pure mathematics , space (punctuation) , topology (electrical circuits) , minimal surface , discrete mathematics , combinatorics , mathematical analysis , computer science , operating system
This paper investigates minimal bases and minimal sub-bases for topological spaces. First, a necessary and sufficient condition is derived for the existence of minimal base for a general topological space. Then the concept of minimal sub-base for a topological space is proposed and its properties are discussed. Finally, for Alexandroff spaces, some special results with respect to minimal bases and minimal sub-bases are illustrated.