What is recorded here?
Established a connection between homotopy-theoretic model categories and intensional type theory by showing sound models of identity types in a broad model-categorical setting.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact two-author 2009 journal paper, first published online in 2008. It generalizes the Hofmann–Streicher groupoid model but is not the later univalence axiom, the 2013 HoTT book or a claim that all homotopy type theory follows from this paper.
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People and systems
Steve Awodey; Michael A. Warren
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
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Documented countries / regions: United States
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English catalogue narrative
Awodey and Warren: homotopy-theoretic models of identity types
Established a connection between homotopy-theoretic model categories and intensional type theory by showing sound models of identity types in a broad model-categorical setting.
Scientific scope
The record is the exact two-author 2009 journal paper, first published online in 2008. It generalizes the Hofmann–Streicher groupoid model but is not the later univalence axiom, the 2013 HoTT book or a claim that all homotopy type theory follows from this paper.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Steve Awodey; Michael A. Warren
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.