Cores of Alexandroff Spaces
نویسنده
چکیده
Following Kukie la, we show how to generalize some results from May’s book [4] concerning cores of finite spaces to cores of Alexandroff spaces. It turns out that finite space methods can be extended under certain local finiteness assumptions; in particular, every bounded-paths space or countable finite-paths space has a core, and two bounded-paths spaces or countable finite-paths spaces are homotopy equivalent if and only if their cores are homeomorphic.
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تاریخ انتشار 2015