Locally Compact Path Spaces
نویسنده
چکیده
It is shown that the space X [0,1], of continuous maps [0, 1] → X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. For a T1-space X, it follows that X [0,1] is locally compact if and only if X is locally compact and totally path-disconnected. AMS Classification: 54C35, 54E45, 55P35, 18B30, 18D15
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ورودعنوان ژورنال:
- Applied Categorical Structures
دوره 13 شماره
صفحات -
تاریخ انتشار 2005