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σ-connectednes in hereditarily locally connected spaces

Gryspolakis Ioakeim, Tymchatyn E.D.

Πλήρης Εγγραφή

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Περίληψη

In this paper we generalize the notion of finitely Susliman to noncompact spaces. Weprove that there is a class of spaces, which includes the class of planarhereditarily locally connected spaces and the finitely Suslinian spaces, andwhich are weakly o-connected, thus, answering the above question in thenegative. We also prove that arcwise connected, hereditarily locally connected,planar spaces are locally arcwise connected. This answer

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