Unbounded sets of maps and compactification in extension theory |
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Authors: | Leonard R Rubin |
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Institution: | Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA |
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Abstract: | Suppose that K is a CW-complex. When we say that a space Y is an absolute co-extensor for K, we mean that K is an absolute extensor for Y, i.e., that for every closed subset A of Y and any map , there exists a map that extends f.Our main theorem will provide several statements that are equivalent to the condition that whenever K is a CW-complex and X is a space which is the topological sum of a countable collection of compact metrizable spaces each of which is an absolute co-extensor for K, then the Stone-?ech compactification of X is an absolute co-extensor for K. |
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Keywords: | 54C55 54C20 |
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