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Results tagged with reference-request
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user 363264
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
1
answer
230
views
Example of a non $\pi_1$-injective, degree one, self-map of a three-manifold
All manifolds will be assumed to be closed, oriented, and connected.
Let $f\colon M\to M$ be a map of degree $\pm 1$. It is not hard to show that $\pi_1(f)$ is surjective.
What is an example of a non …
- 1,097
8
votes
1
answer
279
views
Non-compact three-manifolds with the same proper homotopy type are homeomorphic?
I am looking for some literature with some (counter) examples of the following fact (though I don't know if the fact is true or not):
Let $M, M'$ be two non-compact connected $3$-manifolds with the s …
- 1,097
5
votes
0
answers
130
views
Earliest known proof of "Any degree one self-map of an orientable connected finite-type non-...
I attended a talk where the speaker said the following is due to Nielsen. I searched here and there but couldn't find the corresponding paper, if any. So, what is the earliest known proof of the follo …
- 1,097
3
votes
1
answer
234
views
Classification of degree one map between two closed orientable surfaces without using induct...
A theorem of Edmonds (see Theorem 3.1. of "Deformation of Maps to Branched Coverings in Dimension Two") says that
Theorem 1: A degree-one map between closed orientable surfaces is homotopic to a pinch …
- 1,097
7
votes
1
answer
265
views
Stallings' binding tie
I came to know that the statement below could be proved using Stallings' binding tie argument, though I have no reference article proving the statement by the binding tie argument. Can anyone help me …
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