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2017年7月9日 — I had never really thought about what more it takes beyond being a local homeomorphism for a map to be a covering map, except of course, ...
The condition that p be a local homeomorphism does not suffice, however, to ensure that p is a covering map, as the following example shows. EXAMPLE 2. The map ...
9 页·1 MB
Typical examples of local homeomorphisms are covering maps. A topological space X {\displaystyle X} X is locally homeomorphic ...
作者:M Kowkabi2016被引用次数:6 — Also, a proper local homeomorphism from a Hausdorff space onto a locally path connected Hausdorff space is a covering map. 2. Notations and ...
Given: A covering map p:E \to B . A point e \in E . To prove: There exists an open subset V of E containing e such that the restriction of p to V ...
2018年10月15日 — omorphism becomes a semicovering map. We also obtain some. conditions under which a local homeomorphism is a covering map. 1. Introduction.
作者:J Krzempek2002被引用次数:5 — Composition, covering map, locally one-to-one, open, exactly k-to-one ... covering map iff it is a local homeomorphism.
7 页·169 KB
4.1 Local Homeomorphisms. Lemma 4.1 Let X and Y be topological spaces, and let ϕ: X → Y be a function from X to Y . Then the function ϕ maps an open subset ...

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