Lemma 14.30.6 (08NR)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 14: Simplicial Methods
Section 14.30: Trivial Kan fibrations
Lemma 14.30.6 (cite)

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Products of trivial Kan fibrations are trivial Kan fibrations.

Lemma 14.30.6. Let $X_ i \to Y_ i$ be a set of trivial Kan fibrations. Then $\prod X_ i \to \prod Y_ i$ is a trivial Kan fibration.

Proof. Omitted. $\square$

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Comment #885 by Konrad Voelkel on August 07, 2014 at 12:21

Suggested slogan: Products of trivial Kan fibrations are trivial Kan fibrations.

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