geometric realization

geometric realization

attachments/Pasted%20image%2020220316191824.png

Can be expressed as a coend : attachments/Pasted%20image%2020210511010147.png

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nerve

geometric realization
bar construction

See geometric realization, trace, factorization homology:
Lecture 3 (Thursday, May 06)

They commute with geometric realizations : If \(X_\bullet\) is a semi-simplicial \(G{\hbox{-}}\)space, then \({\left\lVert {X_\bullet} \right\rVert} {/}G \simeq{\left\lVert { X_\bullet {/}G} \right\rVert}\).

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