# 搜索结果

covering map is local homeomorphism
2019年12月11日1 个回答
We know the fact that If p:E⟶B is a covering map, then p is a local homeomorphism. However, it is hard to find the proof of this statement. I only found ...

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
2012年11月30日3 个回答
Let X and Y be locally comapct Hausdorff spaces, and f:X→Y be a surjective local homeomorphism. When is f a covering map? It is well-known that when ...

Typical examples of local homeomorphisms are covering maps. A topological space X {\displaystyle X} X is locally homeomorphic ...

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.

## 用户还搜索了

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 ...