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Results tagged with at.algebraic-topology
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user 114580
Homotopy theory, homological algebra, algebraic treatments of manifolds.
1
vote
2
answers
457
views
Homotopy domination of mapping cylinders with a special condition
Suppose that there exist continuous maps $f:Y\longrightarrow Z$ and $g:Z\longrightarrow Y$ so that $g\circ f\simeq 1_Y$. Also, let $h :X\longrightarrow Y$ be a continuous map which induces an isomorp …
- 139
3
votes
1
answer
425
views
A projective (or free) $\mathbb{Z}\pi_1$-module
Suppose that $Z$ is a finite wedge of spheres containing circles and there exist maps $f:Y\to Z$ and $g:Z\to Y$ so that $g\circ f\simeq 1_Y$. Assume that there exists a map $h:X\to Y$ which induces …
- 139