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pontrjagin ring of the homology of iterated loop suspension

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#algebraic-topology #homotopy-theory #geometric-topology #hopf-algebras #loop-spaces
283
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homomorphism of $H$-spaces between a monoid and loop space of its classifying space

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#algebraic-topology #homology-cohomology #homotopy-theory #classifying-spaces #loop-spaces
191
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configuration-spaces and iterated loop-spaces

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#algebraic-topology #homotopy-theory #monoid #classifying-spaces #loop-spaces
746
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Clarification regarding little n-discs operads

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#algebraic-topology #homotopy-theory #loop-spaces #operads
233
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Iterating the suspension-loop adjunction in two different ways

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#algebraic-topology #homotopy-theory #loop-spaces
76
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Affine Kac-Moody Group Isometry of a Manifold

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#differential-geometry #lie-groups #lie-algebras #riemannian-geometry #loop-spaces
326
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Homeomorphism between $\mathcal{C}(X,\Omega Y)$ and $\mathcal{C}(\Sigma X, Y)$

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#general-topology #algebraic-topology #loop-spaces
56
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What's the official name for a space that warps like this?

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#general-topology #loop-spaces #riemann-sphere
501
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Are the path connected components of $\Omega S_1$ contractible?

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#algebraic-topology #homotopy-theory #loop-spaces
93
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Are the space of paths with two given endpoints in a contractible space, contractible?

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#algebraic-topology #homotopy-theory #loop-spaces
1.1k
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multiplication in H-space and loopspace of the H-space

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#algebraic-topology #homotopy-theory #loop-spaces
104
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Define a map $\Omega \Sigma \Omega Y \to \Omega Y$

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#algebraic-topology #homology-cohomology #homotopy-theory #stable-homotopy-theory #loop-spaces
450
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Fiber bundles that can be turned into a fibration that is a fiber bundle.

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#algebraic-topology #homology-cohomology #homotopy-theory #fiber-bundles #loop-spaces
163
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For which values of $k$ is there an $X$ with $\Omega^kX \cong X$?

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#homotopy-theory #loop-spaces
249
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Size of closed loop on a (bipartite) hexagonal lattice with equal number of enclosed A and B sublattice sites.

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#combinatorics #graph-theory #integer-lattices #loop-spaces

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