Minimal bases and minimal sub-bases for topological spaces | Zendy

Yiliang Li | Zendy; Jinjin Li | Zendy; June Feng | Zendy; Hongkun Wang | Zendy

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Minimal 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.

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