Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A generating family for the Freudenthal compactification of a class of rimcompact spaces

100%

Domínguez J.

Fundamenta Mathematicae

2003

tom 178

nr 3

203-215

For X a Tikhonov space, let F(X) be the algebra of all real-valued continuous functions on X that assume only finitely many values outside some compact subset. We show that F(X) generates a compactification γX of X if and only if X has a base of open sets whose boundaries have compact neighborhoods, and we note that if this happens then γX is the Freudenthal compactification of X. For X Hausdorff and locally compact, we establish an isomorphism between the lattice of all subalgebras of $F(X)/C_{K}(X)$ and the lattice of all compactifications of X with zero-dimensional remainder, the finite-dimensional subalgebras corresponding to the compactifications with finite remainder.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Domínguez J.

1 2003

Wyniki wyszukiwania

A generating family for the Freudenthal compactification of a class of rimcompact spaces