Open AccessA remark on the homomorphism on 𝐶(𝑋)
Author(s) -
Zafer Ercan,
Süleyman Önal
Publication year - 2005
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/s0002-9939-05-07930-x
Subject(s) - homomorphism , algorithm , annotation , computer science , artificial intelligence , semantics (computer science) , mathematics , discrete mathematics , programming language
Let X X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C ( X ) C(X) is determined by a point.