Timeline for Is this affine-subspace analogue of a Grassmannian a classifying space?
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Oct 21, 2015 at 12:25 | history | edited | Allen Knutson | CC BY-SA 3.0 |
edited title
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Oct 21, 2015 at 9:38 | vote | accept | Shi Q. | ||
Oct 21, 2015 at 9:36 | history | edited | Shi Q. | CC BY-SA 3.0 |
added 28 characters in body
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Oct 21, 2015 at 9:20 | comment | added | André Henriques | Note that the term "affine Grassmanian" is usually reserved for a certain infinite dimensional analogs of the Grassmanians, associated to the so-called affine Lie algebras (which are themselves infinite dimensional analogs of the finite dimensional simple Lie algebras). | |
Oct 21, 2015 at 9:04 | answer | added | Sebastian Goette | timeline score: 5 | |
Oct 21, 2015 at 9:03 | comment | added | few_reps | It seems to me the answer is yes to all questions : The natural map $AG_k(\mathbf R^n)\to G_k(\mathbf R^n)$ has a contractible fiber (homeomorphic to $\mathbf R^{n-k}$) and is a homotopy equivalence. | |
Oct 21, 2015 at 8:38 | history | asked | Shi Q. | CC BY-SA 3.0 |