Timeline for Is the space of connections modulo gauge equivalence paracompact?
Current License: CC BY-SA 3.0
5 events
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| Feb 20 at 19:14 | comment | added | Isaac | Thank you very much for your insightful answer. I looked into the above references and tehy all seem to assume the underlying manifold $M$ to be compact. I wonder if we can generalize the results to locally compact ones, such as $\mathbb{R}^4$. Could you provide any further references? | |
| Aug 8, 2018 at 3:22 | vote | accept | Alex Waldron | ||
| Aug 22, 2017 at 8:28 | comment | added | Tobias Diez | I'm not sure what kind of problems you mean concerning the space of curves, but the space of maps $C^\infty(M, N)$ from a compact manifold to a finite-dim. manifold is also paracompact (see the book by Kriegl & Michor, section 42.3). | |
| Aug 22, 2017 at 4:25 | comment | added | Alex Waldron | This is a very good answer which will probably convince me after thinking it over. Meanwhile there are still the two subsidiary questions: 1) what is different for spaces of curves, and 2) is there a way to formalize the objection in the above note, from other than a constructivist perspective. | |
| Aug 21, 2017 at 11:24 | history | answered | Tobias Diez | CC BY-SA 3.0 |