Fibrations and Calculi of Fractions

Forfattere

  • Jaap van Oosten

DOI:

https://doi.org/10.7146/brics.v1i37.21606

Resumé

Given a fibration E -> B and a class Sigma of arrows of B, one can construct the free fibration (on E over B such that all reindexing functors over elements of Sigma are equivalences.

In this work I give an explicit construction of this, and study its properties. For example, the construction preserves the property of being fibrewise discrete, and it commutes up to equivalence with fibrewise exact completions. I show that mathematically interesting situations are examples of this construction. In particular, subtoposes of the effective topos are treated.

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Publiceret

1994-11-30

Citation/Eksport

Oosten, J. van. (1994). Fibrations and Calculi of Fractions. BRICS Report Series, 1(37). https://doi.org/10.7146/brics.v1i37.21606

Nummer

Nr. 37 (1994): RS-37 Fibrations and Calculi of Fractions

Sektion

Artikler

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