Homotopy Type Theory
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Definition
In premetric spaces
Let be a directed type, and let be a -premetric space. Given a directed type , a term is a limit of a net is or a that term withconverges to if comes with a term
Cauchy approximations
Let be a dense Archimedean ordered abelian group with a point and a term . Let be the positive cone? of .
A limit of a -Cauchy approximation is a term with
In convergence spaces
…
Sequences
A limit of a sequence is a limit of a net that happens to be a sequence.
See also
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