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Are these two definitions of $EG$ equivalent?

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#algebraic-topology #homotopy-theory
199
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$\pi_2(G)$ for $G$ a Lie group.

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#algebraic-topology #lie-groups #homotopy-theory
151
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Does an equivariant weak equivalence induce weak equivalences on all orbits?

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#general-topology #algebraic-topology #homotopy-theory
242
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Is a weakly contractible connected metric space, uniquely geodesic?

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#general-topology #algebraic-topology #metric-spaces #homotopy-theory #geodesic
246
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Why is an $E_\infty$-operad a kind of ''strictification'' for a non-commutative operation?

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#algebraic-topology #homotopy-theory #operads
1.5k
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Equivalence of path-connected CW-complexes and CW-complexes with one 0-cell

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#general-topology #algebraic-topology #homotopy-theory
83
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Deformation retract needs to be smooth?

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#general-topology #algebraic-topology #homotopy-theory
316
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Homotopy problem for infinite dimensional topological space III

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#general-topology #algebraic-topology #metric-spaces #homotopy-theory #geodesic
96
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Does the $\mathcal{E}G$-construction arise form a comonad?

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#homotopy-theory #simplicial-stuff
241
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fundamental group of punctuated plane

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#algebraic-topology #homotopy-theory
78
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Is there a natural example of a $K(\hat{\mathbf Z}, 1)$?

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#algebraic-topology #homotopy-theory
68
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A particular Homotopy group.

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#homotopy-theory
9.6k
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Deformation retract and homotopy equivalence

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#general-topology #algebraic-topology #homotopy-theory
1.7k
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Is a path connected subspace of a simply connected space simply connected?

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#algebraic-topology #homotopy-theory #connectedness #fundamental-groups
1.5k
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Show that $X$ deformation retracts to any point in the segment $[0,1]\times \lbrace 0 \rbrace$, but not to any other point.

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#algebraic-topology #homotopy-theory

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