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age 26
visits member for 4 years, 1 month
seen Mar 26 at 21:42

Jan
24
awarded  Popular Question
Jan
10
awarded  Yearling
Sep
23
comment Completion of a category
So if the construction $DM(\mathbb{C})$ given below doesn't give a complete and cocomplete category into which $\mathbb{C}$ embeds, is there a different construction which does do this?
Sep
6
revised $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Changed latex \it tag to html tag.
Sep
6
suggested suggested edit on $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Sep
6
accepted $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Sep
6
comment $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Johannes, thank you so much. You are of course correct; I see it now. Thanks for the help!
Sep
5
comment $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
I've also never heard the term "concordant" used. Do you mean it in the sense here: ncatlab.org/nlab/show/concordance ?
Sep
5
comment $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Is there just an extra $\oplus$ in the displayed equation? When you pick the embedding $\iota$, are you assuming the almost complex structure on $V\oplus \mathbb{R}^r$ is induced from the standard almost complex structure on $\mathbb{C}^n$? I don't think this can always be done. Consider the example in the question, $X=pt$, with $X\times\mathbb{C}$ and the almost complex structure given by $x+iy\to y-ix$; it is not the restriction of the standard complex structure on $\mathbb{C}^n$ for any embedding $\mathbb{C}\rightarrow\mathbb{C}$. I agree that this works for stable complex vector bundles.
Sep
5
asked $(BU,f)$ structures on manifolds via stable normal bundles and stable tangent bundles
Jul
5
accepted Open Problems in Algebraic Topology and Homotopy Theory
Jul
5
comment Open Problems in Algebraic Topology and Homotopy Theory
Dylan, that is perfect! Thanks!
Jul
5
awarded  Informed
Jul
4
comment Open Problems in Algebraic Topology and Homotopy Theory
David, I would be very interested in hearing about your progress! Please let me know if you do ever write an updated list. I do hope Tyler Lawson sees this and lets us know when he will make it public.
Jul
4
awarded  Nice Question
Jul
4
asked Open Problems in Algebraic Topology and Homotopy Theory
May
4
awarded  Nice Question
May
3
accepted Does the paper “On the cobordism ring $\Omega_*$ and a complex analogue II” exist?
May
3
comment Does the paper “On the cobordism ring $\Omega_*$ and a complex analogue II” exist?
Awesome! Thank you very much.
May
3
asked Does the paper “On the cobordism ring $\Omega_*$ and a complex analogue II” exist?