Timeline for Is the decomposition of the homotopy type of a complex into a product and into a smash product unique?
Current License: CC BY-SA 4.0
5 events
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| Apr 25, 2022 at 14:33 | history | edited | Arshak Aivazian | CC BY-SA 4.0 |
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| Apr 25, 2022 at 12:32 | comment | added | HenrikRüping | There are two nonisomorphic groups $G,H$ such that their products with the integers are isomorphic. If I remember correctly they can be chosen as virtually cyclic, so they are not so big. After applying the classifying space functor $B$ one should get a counterexample to the first question $BG \times S^1 = B(G\times \mathbb{Z})=BH \times S^1$ and $BG$ and $BH$ are indecomposable, and not homotopy equivalent. | |
| Apr 25, 2022 at 12:12 | answer | added | Neil Strickland | timeline score: 10 | |
| Apr 25, 2022 at 10:59 | history | edited | Arshak Aivazian | CC BY-SA 4.0 |
edited body
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| Apr 25, 2022 at 10:41 | history | asked | Arshak Aivazian | CC BY-SA 4.0 |