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Results tagged with at.algebraic-topology
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user 310
Homotopy theory, homological algebra, algebraic treatments of manifolds.
6
votes
Do the signs in Puppe sequences matter?
Basically my interpretation of Mariano's answer is as follows: one needs to be consistent with the signs in the Puppe sequence in order for the good properties one wants to hold (namely the mapping ax …
- 8,681
6
votes
Accepted
Coreflective Subcategories of the Stable Homotopy Category
I'm not sure if I constitute an expert or this constitutes a real answer but let me try.
If I understand correctly your first question is whether it is open that every localizing subcategory of an al …
- 8,681
13
votes
Some intuition behind the five lemma?
One can think of the five lemma in terms of the two four lemmas. I think this makes it clearer... for instance drop the $A_1$ and $B_1$ from your diagram. If the maps from $A_2$ and $A_4$ to $B_2$ and …
- 8,681
3
votes
Applications of classifying thick subcategories
I'm not completely sure if this is the sort of thing you are after, but the telescope conjecture (conjecture isn't a great word as it is known to be false for some categories) springs to mind as somet …
- 8,681