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15
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Universal spaces are homotopy equivalent

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#algebraic-topology #homotopy-theory #classifying-spaces
134
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Proof of the isomorphism $[X, \mathbb{R} P^\infty] \cong H^1(X; \mathbb{Z}/2).$

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#algebraic-topology #classifying-spaces #eilenberg-maclane-spaces
558
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Conjugate group homomorphisms induce homotopic maps on classifying spaces

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#algebraic-topology #principal-bundles #classifying-spaces #group-homomorphism
140
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Is a finite cyclic group a Poincare duality group?

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#algebraic-topology #cyclic-groups #duality-theorems #classifying-spaces
1.5k
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what is the classifying space of a monoid

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#algebraic-topology #category-theory #homotopy-theory #monoid #classifying-spaces
554
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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
73
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explicit equivalent relation in the expression of the classifying space of a monoid

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#homotopy-theory #monoid #geometric-group-theory #simplicial-stuff #classifying-spaces
130
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Different groups with the same classifying space.

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#algebraic-topology #homotopy-theory #classifying-spaces
124
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configuration space model for classifying space of monoid

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#algebraic-topology #homotopy-theory #geometric-topology #monoid #classifying-spaces
242
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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
60
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universal bundle of topological monoids

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#algebraic-topology #topological-groups #geometric-topology #fibration #classifying-spaces
320
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the geometric realization of a simplicial set is contractible

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#algebraic-topology #homology-cohomology #homotopy-theory #fibration #classifying-spaces
149
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Cut out characteristic Submanifold N ($w_1(M)=w_1$(Normalbundle of N in M)). Remainder M-N is orientable? Orientation Character or CW-Structure?

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#algebraic-topology #manifolds #differential-topology #classifying-spaces #cobordism
284
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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
80
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action of a monoid on a mapping telescope

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#algebraic-topology #homology-cohomology #homotopy-theory #group-actions #classifying-spaces

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