Topology Proceedings DEFINING TOPOLOGICAL PROPERTIES VIA INTERACTIVE MAPPING CLASSES

نویسنده

  • PAUL BANKSTON
چکیده

We show that a compactum is locally connected if and only if every semimonotone mapping onto it is also monotone. If we put open in place of monotone, we obtain the finite compacta; if we put in confluent, we obtain a large class of compacta, the connected members of which are connected im kleinen at each of their cut points.

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تاریخ انتشار 2009