Loop space
2021年7月3日 — The free loop space ℒX of a topological space X (based or not) is the space of all loops in X. This is in contrast to the based loop space ... ,2021年7月31日 — A topological space is a loop space if it has a delooping. It is an infinite loop space if this delooping has itself a delooping, and so on. ,Likewise, an infinite loop space, along with its deloopings, gives us an !-spectrum and hence a cohomology theory. Because of this we wish to recognize ... ,2021年8月23日 — Homology. See at homology of iterated loop spaces. Relation to configuration spaces of points. Proposition 2.2. ( ... ,An early motivation for the invention of a theory of operads was the consideration of infinite loop spaces, that is, a sequence of spaces Xn such that each Xn ... ,In topology, a branch of mathematics, the loop space ΩX of a pointed topological space X is the space of (based) loops in X, i.e. continuous pointed maps ... , (or the space of closed paths). ... REFERENCES: Bredon, G. Topology and Geometry New York: Springer-Verlag, p. 456, 1993. Brylinski, J.-L. Loop Spaces, ... ,2020年1月14日 — A loop space is an example of a A-∞ space, in particular it is an H-space. Loop spaces admit this rich algebraic structure which arises from ... ,2021年8月20日 — This is a special case of Sullivan models of mapping spaces. 2. Construction. For the free loop space. Proposition 2.1. (Sullivan model for free ...
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 Loop space 相關參考資料
free loop space in nLab
2021年7月3日 — The free loop space ℒX of a topological space X (based or not) is the space of all loops in X. This is in contrast to the based loop space ... https://ncatlab.org infinite loop space in nLab
2021年7月31日 — A topological space is a loop space if it has a delooping. It is an infinite loop space if this delooping has itself a delooping, and so on. https://ncatlab.org Infinite Loop Spaces - JHU Math
Likewise, an infinite loop space, along with its deloopings, gives us an !-spectrum and hence a cohomology theory. Because of this we wish to recognize ... http://math.jhu.edu iterated loop space in nLab
2021年8月23日 — Homology. See at homology of iterated loop spaces. Relation to configuration spaces of points. Proposition 2.2. ( ... https://ncatlab.org Loop Space - an overview | ScienceDirect Topics
An early motivation for the invention of a theory of operads was the consideration of infinite loop spaces, that is, a sequence of spaces Xn such that each Xn ... https://www.sciencedirect.com Loop space - Wikipedia
In topology, a branch of mathematics, the loop space ΩX of a pointed topological space X is the space of (based) loops in X, i.e. continuous pointed maps ... https://en.wikipedia.org Loop Space -- from Wolfram MathWorld
(or the space of closed paths). ... REFERENCES: Bredon, G. Topology and Geometry New York: Springer-Verlag, p. 456, 1993. Brylinski, J.-L. Loop Spaces, ... https://mathworld.wolfram.com loop space in nLab
2020年1月14日 — A loop space is an example of a A-∞ space, in particular it is an H-space. Loop spaces admit this rich algebraic structure which arises from ... https://ncatlab.org nLab Sullivan model of loop space - Rational homotopy theory
2021年8月20日 — This is a special case of Sullivan models of mapping spaces. 2. Construction. For the free loop space. Proposition 2.1. (Sullivan model for free ... https://ncatlab.org |