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Nilpotent types and fracture squares in homotopy type theory

Published online by Cambridge University Press:  08 July 2020

Luis Scoccola Open the ORCID record for Luis Scoccola [Opens in a new window]
Luis Scoccola*
Affiliation:
Department of Mathematics, University of Western Ontario, London, ON N6A 3K7, Canada
*
Email: lscoccol@uwo.ca
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Abstract

We develop the basic theory of nilpotent types and their localizations away from sets of numbers in Homotopy Type Theory. For this, general results about the classifying spaces of fibrations with fiber an Eilenberg–Mac Lane space are proven. We also construct fracture squares for localizations away from sets of numbers. All of our proofs are constructive.

Keywords

Homotopy type theorynilpotent spacefracture squareEilenberg–Mac Lane spaceprincipal fibration

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Type
Paper
Information
Mathematical Structures in Computer Science , Volume 30 , Issue 5 , May 2020 , pp. 511 - 544
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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