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For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.

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Is the counit of geometric realization a Serre fibration?

We want to show that $\counit_X$ is a Serre fibration. Let then $h:\real{\Delta^n} \to \real{\Sing{X}}$ and $H:\real{\Delta^n} \times I = \real{\Delta^n \times \Delta^1}\to X$ be continuous maps. … I will now conclude the proof that $\counit_X$ is a Serre fibration. …
Ricardo Andrade's user avatar