Homotopy Type Theory
limit of a net > history (Rev #4)
Contents
Definition
In premetric spaces
Let be a directed type, and let be a -premetric space. Given a directed type , a limit of a net is a term with
Cauchy approximations
Let be a abelian group with a point , a strict order , a term and a family of dependent terms
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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