Lumsdaine, Peter LeFanu

1. The Simplicial Model of Univalent Foundations (after Voevodsky)
   2012/11/12 by Chris Kapulkin, Kapulkin, Chris, Peter LeFanu Lumsdaine +1 · 34 citations
   Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra
2. A mechanization of the Blakers-Massey connectivity theorem in Homotopy Type Theory
   2016/05/10 by Kuen-Bang Hou, Eric Finster, Hou, Kuen-Bang +5 · 5 citations
   Computer Science · Mathematics · #03B15 (Higher-order logic and type theory) #03B70 (Logic in computer science) #55U35 (Abstract and axiomatic homotopy theory) #Algebraic Topology (math.AT) #F.4.1 #FOS: Computer and information sciences #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Logic in Computer Science (cs.LO) #Logic, programming, and type systems
3. The homotopy theory of type theories
   2016/09/30 by Chris Kapulkin, Peter LeFanu Lumsdaine, Kapulkin, Chris +1 · 5 citations
   Mathematics · #18G55 Homotopical algebra (primary) 03B15 Higher-order logic &amp #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #axiomatic homotopy theory #type theory 18C50 Cat'l semantics of formal languages 55U35 Abstract &amp
4. The HoTT Library: A formalization of homotopy type theory in Coq
   2016/10/14 by Andrej Bauer, Jason Gross, Bauer, Andrej +9 · 3 citations
   Computer Science · #Logic, programming, and type systems #Logic, Reasoning, and Knowledge #Semantic Web and Ontologies
5. Univalence in Simplicial Sets
   2012/03/12 by Chris Kapulkin, Kapulkin, Chris, Peter LeFanu Lumsdaine +3 · 2 citations
   Mathematics · #55U10 (Primary) 55U35 (Secondary) #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
6. Homotopical inverse diagrams in categories with attributes
   2018/08/06 by Chris Kapulkin, Peter LeFanu Lumsdaine, Kapulkin, Chris +1 · 1 citation
   Computer Science · Mathematics · #03B15 Higher-order logic and type theory (primary) #03G30 Categorical logic #18C50 Categorical semantics of formal languages #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Logic, programming, and type systems #Topological and Geometric Data Analysis #topoi