Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A note on $ C\sb{c}(X)$

Authors: G. D. Richardson and D. C. Kent
Journal: Proc. Amer. Math. Soc. 49 (1975), 441-445
MSC: Primary 54C35; Secondary 54A20
MathSciNet review: 0370483
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: When $ X$ is a locally convex topological linear space, the function algebra $ {C_c}(X)$ (with continuous convergence) can have a closure operator which has infinitely many distinct iterations. The reverse situation is also possible: $ X$ can be a locally compact $ c$-embedded convergence space whose closure operator has infinitely many distinct iterations, whereas $ {C_c}(X)$ is a topological space.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C35, 54A20

Retrieve articles in all journals with MSC: 54C35, 54A20

Additional Information

Keywords: Convergence space, continuous convergence, $ c$-embedded space, highly nontopological space
Article copyright: © Copyright 1975 American Mathematical Society