Spaces of partial maps, fibred mapping spaces and the compact-open topology
نویسندگان
چکیده
منابع مشابه
Sequential Properties of Function Spaces with the Compact-open Topology
Let M be the countably infinite metric fan. We show that Ck(M, 2) is sequential and contains a closed copy of Arens space S2. It follows that if X is metrizable but not locally compact, then Ck(X) contains a closed copy of S2, and hence does not have the property AP. We also show that, for any zero-dimensional Polish space X, Ck(X, 2) is sequential if and only if X is either locally compact or ...
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ژورنال
عنوان ژورنال: General Topology and its Applications
سال: 1978
ISSN: 0016-660X
DOI: 10.1016/0016-660x(78)90049-1