Example 5.13.16`399FC71A61E3`

Example 5.13.16.399FC71A61E3 Write $\{ X_ i\} _{i\in I}$ for the set of connected components of $X$. Then we have a natural bijection

\[ \mathrm{PSH}(X) \cong \prod _{i\in I} \mathrm{PSH}(X_ i). \]

Here the product is in the category of sets. In particular, if $X=\varnothing $, then $\mathrm{PSH}(X)$ is a singleton.

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BibTeX citation

@misc{pome-tag-399FC71A61E3,
  author = {{Pome contributors}},
  title = {Example 5.13.16},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/399FC71A61E3/}
}

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Example 5.13.16399FC71A61E3

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Example 5.13.16`399FC71A61E3`