Homotopy Type Theory
Cauchy structure > history (Rev #8, changes)
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Definition
Let be a Archimedean ordered integral domain with a dense strict order, and let be the semiring? of positive terms in . As a result, is a directed type and a codirected type where the directed type operation is associative.
A -Cauchy structure is a -premetric space with
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a function
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a function , where is the type of -Cauchy approximations in
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dependent families of terms
For two -Cauchy structures and , a -Cauchy structure homomorphism consists of
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a function
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a dependent family of functions
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a dependent family of types
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a dependent family of types
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a dependent family of types
See also
References
- Auke B. Booij, Analysis in univalent type theory (pdf)
Revision on March 12, 2022 at 21:34:06 by
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