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N-compact spaces as limits of inverse systems of discrete spaces

Kim-Peu Chew
1972 Journal of the Australian Mathematical Society  
Let A' denote the discrete space of all natural numbers. A space X is A'-compact if it is homeomorphic with some closed subspace of a product of copies of N. In this paper, A'-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 A^-compact if and only if the space *€ (X) of all non-empty compact subsets of X with the finite topology is AT-compact.
doi:10.1017/s1446788700011101 fatcat:tjplmkw5rzdwrgyed3oiwpyaai