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Results tagged with at.algebraic-topology
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user 48226
Homotopy theory, homological algebra, algebraic treatments of manifolds.
21
votes
1
answer
1k
views
What is the group of pointed homotopy classes of maps from $S^3 \times S^3$ to $S^3$?
What is the group of pointed homotopy classes of maps from $S^3 \times S^3$ to $S^3$? The group structure induced by the group structure on the codomain. This question is a followup to Eric's answer …
- 295
12
votes
1
answer
556
views
Can the group of homotopy classes of maps into S^3 be noncommutative?
Let $[X,S^3]$ be the set of homotopy classes of maps from the pointed CW complex X to the pointed 3-sphere. The group structure on S^3 endows this set with a group structure. Is this group ever non …
- 295