Open AccessSubmaximal properties in (strongly) topological gyrogroups
Author(s) -
Meng Bao,
Fucai Lin
Publication year - 2021
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/fil2107371b
Subject(s) - paracompact space , cardinality (data modeling) , mathematics , topological space , space (punctuation) , topology (electrical circuits) , discrete mathematics , combinatorics , hausdorff space , computer science , data mining , operating system
A space X is submaximal if any dense subset of X is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly ?-discrete. Moreover, we prove that every submaximal strongly topological gyrogroup of non-measurable cardinality is hereditarily paracompact.