Timeline for Space with maps detected by homotopy groups in infinitely many degrees
Current License: CC BY-SA 4.0
3 events
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| Mar 11, 2021 at 16:17 | comment | added | mme | @user51223 The product topology, as always. That this map exists and is continuous follows from the universal property of the product topology. Exercise in universal property: if $f_i: X_i \to X_i$ is a family of continuous maps, then $\prod f_i: \prod_{i \in I} X_i \to \prod_{i \in I} X_i$ is a continuous map. All of Dmitri's statements about the induced maps etc similarly follow from the universal property. | |
| Mar 11, 2021 at 15:48 | comment | added | user51223 | What is the topology on this product? I feel it is important, but don’t have any argument against your example. | |
| Mar 11, 2021 at 14:32 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |