Timeline for The graded multiplication on topological $K$-theory
Current License: CC BY-SA 4.0
6 events
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| Feb 26, 2023 at 19:58 | comment | added | user43326 | The issue is also discussed in Boardman's article math.jhu.edu/~wsw/papers2/math/28a-boardman-stable.pdf page 12 (just before the section on multiplicative cohomology theory...) Or even in Adam's blue book Proposition 9.1. In short for a commutative ring spectrum, the cohomology of a space is graded commutative ring. | |
| Feb 25, 2023 at 15:33 | comment | added | Tyler Lawson | @JohnRognes Ah, wonderful! That's much more definitive; I'd encourage you to post that as an answer. | |
| Feb 25, 2023 at 9:11 | comment | added | John Rognes | In Schwede's "Symmetric Spectra" (math.uni-bonn.de/people/schwede/SymSpec.pdf) this sign appears in Proposition 6.21. For orthogonal spectra, I wrote this out in Definition 6.10 and Theorem 6.8 of uio.no/studier/emner/matnat/math/MAT9580/v17/documents/… . I write $a * b$ for the pairing you find in books, and note that $a \cdot b = (-1)^{ij} a*b$ is compatible with stabilization in both $a$ and $b$. | |
| Feb 23, 2023 at 19:54 | history | edited | Tyler Lawson | CC BY-SA 4.0 |
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| Feb 23, 2023 at 19:48 | history | edited | Tyler Lawson | CC BY-SA 4.0 |
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| Feb 23, 2023 at 19:42 | history | answered | Tyler Lawson | CC BY-SA 4.0 |