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Results tagged with at.algebraic-topology
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user 310
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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 …
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
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
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