Article contents
N-compact spaces as limits of inverse systems of discrete spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
Let N denote the discrete space of all natural numbers. A space X is N-compact if it is homeomorphic with some closed subspace of a product of copies of N. In this paper, N-compact spaces are characterized as homeomorphs of inverse limit space of inverse systems of copies of subsets of N. Also, it is shown that a space X is N-compact if and only if the space (X) of all non-empty compact subsets of X with the finite topology is N-compact.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 14 , Issue 4 , December 1972 , pp. 467 - 469
- Copyright
- Copyright © Australian Mathematical Society 1972
References
- 3
- Cited by