Timeline for Turning injection of homotopy groups to an isomorphism
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Jun 16, 2019 at 21:20 | comment | added | Connor Malin | @DenisNardin I edited my answer to be more clear. | |
Jun 16, 2019 at 21:19 | history | edited | Connor Malin | CC BY-SA 4.0 |
added 12 characters in body
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Jun 16, 2019 at 21:12 | comment | added | mme | you can forget the notation completely by remembering that $M_f$ is the Mobius band and the map from the circle is the inclusion of the boundary (but of course, the notion of mapping cylinder is independently useful). | |
Jun 16, 2019 at 20:52 | history | edited | Connor Malin | CC BY-SA 4.0 |
added 39 characters in body
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Jun 16, 2019 at 20:51 | comment | added | Denis Nardin | Sorry for the comments, now I got what you mean (you are basically taking a cofibrant replacement of the squaring map). You might want to explain a bit the notation though, because it gave me pause for one moment | |
Jun 16, 2019 at 20:47 | comment | added | Connor Malin | The mapping cylinder. It is homotopy equivalent to the codomain. | |
Jun 16, 2019 at 20:41 | history | answered | Connor Malin | CC BY-SA 4.0 |