Pseudometric completion #1486
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Pseudometric completion #1486
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Co-authored-by: Fredrik Bakke <[email protected]>
Co-authored-by: Fredrik Bakke <[email protected]>
…-spaces.lagda.md Co-authored-by: Fredrik Bakke <[email protected]>
Co-authored-by: Fredrik Bakke <[email protected]>
Co-authored-by: Fredrik Bakke <[email protected]>
Co-authored-by: Louis Wasserman <[email protected]>
…tric space has a limit
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Reboot in #1507 |
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This PR introduces the pseudometric completion of a pseudometric space
M, the pseudometric space of Cauchy approximations inMwhere two Cauchy approximationsxandyare in ad-neighborhood of oneanother if for all
δ ε : ℚ⁺,x δandy εare in a(δ + ε + d)-neighborhood of one another inM.Any Cauchy approximation in the pseudometric completion has a limit.
Co-authored-by: Louis Wasserman [email protected]