2016/10/31 by Philip Hackney, Marcy Robertson
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Calculus (dental) #French horn #Homotopy and Cohomology in Algebraic Topology #Infinity #Mathematical analysis #Mathematics #Mathematics education #Matrix (chemical analysis) #Pedagogy #Pure mathematics #Sociology #Type (biology) #math.AT #math.CT
paper · pdf · doi:10.1007/978-3-319-72299-3_18
These lecture notes will eventually appear in the MATRIX book series http://www.matrix-inst.org.au/book-series/. Comments are always welcome!
arxiv created 2016/11/29 · openalex publication_date 2018/01/01 · arxiv updated 2018/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
These are notes for three lectures on higher properads given at a program at the mathematical institute MATRIX in Australia in June 2016. The first lecture covers the case of operads, and provides a brief introduction to the Moerdijk-Weiss theory of dendroidal sets. The second lecture extends the discussion to properads and our work with Donald Yau on graphical sets. These two lectures conclude with models for higher (pr)operads given by an inner horn filling condition. Finally, in the last lecture, we explore some properties of the graphical category and use them to give a Segal-type model for higher properads.