Open AccessOn the cardinality of a compact 𝑇₁ space
Author(s) -
Angelo Bella
Publication year - 1987
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-1987-0866448-x
Subject(s) - algorithm , cardinality (data modeling) , computer science , artificial intelligence , annotation , database
In this paper two theorems on the cardinality of a compact T 1 {T_1} space are stated. They generalize the following result: an uncountable first countable compact T 1 {T_1} space has cardinality greater than or equal to 2 ℵ 0 {2^{{\aleph _0}}} .