Countable Compactiications and a Generalized Hahn-mazurkiewicz Type Theorem
نویسنده
چکیده
In this paper, we provide a characterization as to when a locally connected generalized continuum (a locally compact connected separable metric space) has a countable compactiication of a certain order type. We then prove that for any two locally connected generalized continua with maximal countable compactiications X and Y of the same order type there is a perfect surjection f : X ! Y. This provides one kind of generalized Hahn-Mazurkiewicz type theorem.
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