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Space product covers

Space product covers

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Or if not a list, just some further fundamental examples. For instance, here are the ones I have off the top of my head:. One can combine this idea with the previous idea for subgroups of diffeomorphism groups.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Or if not a list, just some further fundamental examples. For instance, here are the ones I have off the top of my head:. One can combine this idea with the previous idea for subgroups of diffeomorphism groups. A compendium of these things would be nice to have.

Here are a few more:. The latter has the advantage of coming with an obvious map to the space from 1 , realizing the homotopy equivalence explicitly. I mention this to point out that it can be useful to have different choices available, even for "decomposable" groups. In the world of diffeomorphism groups of manifolds, Smale's theorem is that the group of diffeomorphisms of the 2-disc which restrict to the identity on the boundary circle, this is a contractible space.

There are fibre-bundles:. You can also make similar constructions for knots. In this case the fiber is a homotopy-discrete group, and the groups can be fairly elaborate. In general, they're all finitely covered by groups that are products of pure braid groups, but the covers can be arbitrarily large.

These groups have a somewhat similar feel to subgroups of the braid group that all preserve a common reduction curve system in the sense of Thurston's classification of surface automorphisms.

Home Questions Tags Users Unanswered. Asked 8 years, 10 months ago. Active 5 years, 1 month ago. Viewed 7k times. Craig Westerland. Again, the classifying space can be represented as a quotient of a hyperplane complement. See papers of Brieskorn-Saito and Deligne from the early 70s.

This is a model Dev Sinha mentions in some of his talks. Dave Anderson. Johannes Ebert. Samuel Tinguely. Yan Zou. Ulrich Pennig. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Featured on Meta. Update: an agreement with Monica Cellio. Visit chat. Linked 2. Related 3. Question feed. MathOverflow works best with JavaScript enabled.

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Topological Vector Spaces. The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Is there a simple description in terms of the subspaces universal covers for the universal cover of a wedge product? In these cases, the universal cover looks like the cross product of the sheets of the universal covers of each space in the wedge. This tree picture nicely and dramatically generalizes to Bass-Serre theory.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. I believe this is provable with a slightly modification of the proof that the product of compact spaces is compact. It suffices to prove it for any open cover of basis elements, since we may always refine an open cover to an open cover of basis elements. The following shows that the hypothesis of compactness is required.

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See the Feb. The propulsion system for the U. See the Aug.

SEE VIDEO BY TOPIC: Empty Space - James Arthur - Cover by Misellia Ikwan

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Radar images for this project were provided by the Italian Space Agency and the RADARSAT-2 initial products were obtained through the project name.

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The definition implies that every covering map is a local homeomorphism.

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Но этого было достаточно. СЛЕДОПЫТ ИЩЕТ… - Следопыт? - произнес.  - Что он ищет? - Мгновение он испытывал неловкость, всматриваясь в экран, а потом принял решение.

Хейл достаточно понимал язык программирования Лимбо, чтобы знать, что он очень похож на языки Си и Паскаль, которые были его стихией. Убедившись еще раз, что Сьюзан и Стратмор продолжают разговаривать, Хейл начал импровизировать.

Введя несколько модифицированных команд на языке Паскаль, он нажал команду ВОЗВРАТ.

ТРАНСТЕКСТ себя оправдал. В интересах сохранения в тайне этого успеха коммандер Стратмор немедленно организовал утечку информации о том, что проект завершился полным провалом.

Вся деятельность в крыле, где размещалась шифровалка, якобы сводилась к попыткам зализать раны после своего фиаско ценой в два миллиарда долларов.

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  1. Gardaktilar

    Good topic