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Homotopy theory, homological algebra, algebraic treatments of manifolds.
6
votes
0
answers
149
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Detection tools for (reduced) suspension
I'm learning about loop spaces and the work of Stasheff on $A_{\infty}$-spaces. The broad idea that I'm getting is the following. Given a space $Y$, we want to know under which conditions there exists …
3
votes
0
answers
94
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Example of R-bad space
I have been looking around for examples of $R$-bad spaced in the sense of Bousfield and Kan. In their book "Homotopy limits, completions and localizations] they give several examples of such spaces fo …