engleski

The Topology of Limits of Direct Systems Induced by Maps

Let Z, H be spaces. In previous work, we introduced the direct system A induced by the set of maps between the spaces Z and H. Now we will consider the case that A is induced by possibly a proper subset of the maps of Z to H. Our objective is to explore conditions under which X = dirlim A will be T1, Hausdorff, regular, completely regular, pseudo-compact, normal, an absolute co-extensor for some space K, or will enjoy some combination of these properties.

absolute extensor; CW-complex; direct limit; extension theory

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