Year: 2010
Type: article
Abstract: We define a notion of weak ω-category internal to a model of Martin-Löf's type theory, and prove that each type bears a canonical weak ω-category structure obtained from the tower of iterated identity types over that type. We show that the ω-categories arising in this way are in fact ω-groupoids.
DOI: 10.1112/plms/pdq026
Authors: Benno van den Berg, Richard Garner
Institutions: Technische Universität Darmstadt, University of Cambridge
Language: English
Subfield: Software
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951532718