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Sep 12, 2023 at 17:56 answer added Nicholas Kuhn timeline score: 4
Sep 12, 2023 at 17:31 comment added Tyler Lawson Here are some minor comments. 1- starting at n=3 you will start to have summands split off of various different types. 2- there's no finitary expression. Even if you decompose these smash powers into irreducible summands, there are infinitely many inequivalent summands that appear. 3- you can ask the same question for the decomposition of the homology as a module over the Steenrod algebra. It's more approachable but still exhibits the same phenomena as 1&2.
Sep 12, 2023 at 16:41 history edited Tim Campion CC BY-SA 4.0
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Sep 12, 2023 at 16:26 history edited Tim Campion CC BY-SA 4.0
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Sep 12, 2023 at 16:19 history asked Tim Campion CC BY-SA 4.0