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What are the loops in BG?

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#algebraic-topology #category-theory #topological-groups #classifying-spaces #loop-spaces
61
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The fundamental group of the loop space of $(X,x_0)$ with the base point chosen not to be the constant loop in $x_0$

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#general-topology #algebraic-topology #homotopy-theory #higher-homotopy-groups #loop-spaces
623
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cohomology of free loop space on $S^3$

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#algebraic-topology #spectral-sequences #loop-spaces
34
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Definition of differential forms on loop space and the space of figure eights

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#algebraic-topology #loop-spaces
85
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Why is an (algebraic) loop group called a "loop group"?

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#algebraic-geometry #representation-theory #algebraic-groups #loop-spaces
72
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Is the Moore Loop space of a well-pointed space well-pointed?

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#algebraic-topology #homotopy-theory #loop-spaces
77
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Find $\mathscr X$ such that $\operatorname{Spaces}/BG$ $\sim$ $\operatorname{Spaces}^G$ $\sim$ $\mathscr X(\Omega G)$ for any $G$

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#homotopy-theory #topological-groups #classifying-spaces #loop-spaces #equivariant-topology
42
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Loop spaces and smash product

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#algebraic-topology #loop-spaces
234
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Complexifying Lie group actions

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#group-theory #lie-groups #lie-algebras #schemes #loop-spaces
1.4k
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Loop space of wedge sum of spheres

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#algebraic-topology #homotopy-theory #spheres #loop-spaces
164
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Textbook on infinite loop spaces

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#reference-request #algebraic-topology #book-recommendation #loop-spaces
389
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When the free loop space fibration splits?

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#algebraic-topology #homotopy-theory #loop-spaces
150
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iterated loop spaces and configuration spaces

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#algebraic-topology #homotopy-theory #loop-spaces #operads
553
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canonical map of a monoid to its classifying space

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#algebraic-topology #category-theory #homotopy-theory #classifying-spaces #loop-spaces
241
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question about "Homology fibrations and the group completion theorem"

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#algebraic-topology #homotopy-theory #fibration #classifying-spaces #loop-spaces

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