Lemma 110.78.1 (0B2Z)—The Stacks project

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Lemma 110.78.1. There exists a system $G_1 \to G_2 \to G_3 \to \ldots$ of (abelian) topological groups such that $\mathop{\mathrm{colim}}\nolimits G_ n$ taken in the category of topological spaces is different from $\mathop{\mathrm{colim}}\nolimits G_ n$ taken in the category of topological groups.

Proof. See discussion above. $\square$

Comments (2)

Comment #1537 by Pieter Belmans on June 23, 2015 at 09:50

toplogical should be topological.

Comment #1566 by Johan on July 14, 2015 at 12:58

Thanks, fixed here.

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