Homotopy Type Theory
Cauchy structure > history (Rev #3, changes)
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Definition
Let be a Archimedean ordered integral domain with a dense linear order?, and let be the semiring? of positive terms in .
Suppose is a -premetric space, and let be a net with index type . is a -Cauchy approximation if
The type of -Cauchy approximations in is defined as
A -Cauchy structure is a -premetric space with
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a function
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a function
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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 11, 2022 at 16:45:48 by
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