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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 14th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexam giving this elementary fact its own little stand-alone entry, for ease of hyperlinking at related entries (e.g. at _[[one-point compactification]]_, _[[pointed topological spaces]]_, _[[smash product]]_, _[[product topological space]]_, maybe also at _[[locally compact Hausdorff space]]_) <a href="https://ncatlab.org/nlab/revision/one-point+compactification+intertwines+Cartesian+product+with+smash+product/1">v1</a>, <a href="https://ncatlab.org/nlab/show/one-point+compactification+intertwines+Cartesian+product+with+smash+product">current</a>

   am giving this elementary fact its own little stand-alone entry, for ease of hyperlinking at related entries (e.g. at one-point compactification, pointed topological spaces, smash product, product topological space, maybe also at locally compact Hausdorff space)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 8th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added that one-point compactification preserves also the coproduct, hence is in fact a morphism of distributive monoidal categories. <a href="https://ncatlab.org/nlab/revision/diff/one-point+compactification+intertwines+Cartesian+product+with+smash+product/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/one-point+compactification+intertwines+Cartesian+product+with+smash+product/4">v4</a>, <a href="https://ncatlab.org/nlab/show/one-point+compactification+intertwines+Cartesian+product+with+smash+product">current</a>

   I have added that one-point compactification preserves also the coproduct, hence is in fact a morphism of distributive monoidal categories.

   diff, v4, current