Cubical Models of (Infty,1)-CategoriesMemoirs of the American Mathematical Society

Brandon Doherty, University of Western Ontario, London, Ontario, Canada, Krzysztof Kapulkin, University of Western Ontario, London, Ontario, Canada.

Introduction 1. Cubical sets and marked cubical sets 2. Model structure on marked cubical sets 3. Model structure on structurally marked cubical sets 4. Joyal model structure on cubical sets 5. Cones in cubical sets 6. Comparison with the Joyal model structure 7. Mapping spaces in cubical quasicategories A. Verification of identities on $\theta $