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Results tagged with at.algebraic-topology
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user 39735
Homotopy theory, homological algebra, algebraic treatments of manifolds.
5
votes
Algebraic topology beyond the basics: any texts bridging the gap?
I learned -still and will be learning - the fundamentals of Algebraic topology from a professor at my University, Dr. Carlos Prieto. He is the co-author, along Dr. Samuel Gliter and Dr. Marcelo Aguila …
3
votes
1
answer
484
views
Equivalent definition of a homotopy of functions
It is well known that given $X,Y$ arbitrarily topological spaces, $I$ the unit interval, and continuous functions $f, g : X \rightarrow Y,$ a homotopy between the functions is a continuous function $H …
- 79
4
votes
0
answers
205
views
Why is any $G$-resolution a principal $G$-bundle?
In the article The Cohomology of Classifying Spaces of H-Spaces by M. Rothenberg and N. Steenrod (https://projecteuclid.org/euclid.bams/1183527356) it is stated as a theorem that if $G$ is a topologic …
- 79