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σ-connectednes in hereditarily locally connected spaces

Gryspolakis Ioakeim, Tymchatyn E.D.

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URI: http://purl.tuc.gr/dl/dias/3E7FE9E9-8F4F-429C-A4E6-2CE02A6FDC51
Year 1979
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation J. Grispolakis and E.D. Tymchatyn, "σ-connectednes in hereditarily locally connected spaces", Trans. Amer. Math. Soc., vol. 253, pp. 303-315, September 1979.
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Summary

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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