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Submetrizable, equivalent definition #1822

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prabau merged 3 commits into from
Jul 23, 2026
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Submetrizable, equivalent definition #1822

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Moniker1998 Jul 23, 2026
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Update properties/P000112.md
Moniker1998 Jul 23, 2026
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Moniker1998 Jul 23, 2026
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Expand Up @@ -11,7 +11,10 @@ refs:

The topology contains a coarser topology which is {P53}.

Equivalently, there is a continuous injective map from $X$ into some metrizable space.
This is equivalent to each of the following:

- There is a continuous injective map from $X$ into a metrizable space.
- There is a continuous metric on $X$.

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#### Meta-properties
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