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Properties of extensions of metric spaces#1777

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malarbol wants to merge 91 commits intoUniMath:masterfrom
malarbol:flavors-extensions-metric-space
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Properties of extensions of metric spaces#1777
malarbol wants to merge 91 commits intoUniMath:masterfrom
malarbol:flavors-extensions-metric-space

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@malarbol malarbol commented Dec 31, 2025

Built on top of #1742

This PR introduce the following properties of extensions of metric spaces (as introduced in #1742):

  • Cauchy-dense extensions: extensions i : M → N such that any y : N is the limit the image by i of some Cauchy approximation in M;
  • precomplete extensions: extensions i : M → N such that all the images by i of Cauchy approximations in M converge in N;
  • complete extensions: extensions i : M → N such that N is complete; all complete extensions are precomplete.

malarbol and others added 30 commits November 22, 2025 18:28
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
…dometric-spaces.lagda.md

Co-authored-by: Fredrik Bakke <fredrbak@gmail.com>
--lossy-unification breaks some proof of UniMath#1726
@malarbol malarbol changed the title Properties of extensions metric space Properties of extensions of metric space Dec 31, 2025
@malarbol malarbol changed the title Properties of extensions of metric space Properties of extensions of metric spaces Dec 31, 2025
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