The Topology of Limits of Direct Systems Induced by Maps (CROSBI ID 199693)
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Podaci o odgovornosti
Ivanšić, Ivan ; Rubin, Leonard R.
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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Podaci o izdanju
11 (4)
2014.
1261-1273
objavljeno
1660-5446
10.1007/s00009-013-0371-0