bio | website | math.rutgers.edu/~wilson47 |
---|---|---|
location | ||
age | 26 | |
visits | member for | 4 years, 7 months |
seen | 2 days ago | |
stats | profile views | 646 |
Sep 8 |
revised |
Colimits in the category of smooth manifolds
deleted 3 characters in body |
Jul 2 |
awarded | Curious |
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? |