Amalgams, connectifications, and homogeneous compacta |
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Authors: | David Milovich |
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Affiliation: | University of Wisconsin-Madison, Mathematics Department, 480 Lincoln Dr., Madison, WI 53706, USA |
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Abstract: | We construct a path-connected homogeneous compactum with cellularity c that is not homeomorphic to any product of dyadic compacta and first countable compacta. We also prove some closure properties for classes of spaces defined by various connectifiability conditions. One application is that every infinite product of infinite topological sums of Ti spaces has a Ti pathwise connectification, where i∈{1,2,3,3.5}. |
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Keywords: | 54D05 54A25 54D30 |
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