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Higher category theory
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1	Noah Snyder: Research Statement Quantum Algebra and Quantum Topology I work in an area at the intersection of representation theory, low-dimensional topology, higher category theory, and operator algebras which is often Add to Reading List Source URL: pages.iu.edu Language: English - Date: 2017-08-30 16:47:33
2	Higher-Dimensional Category Theory The architecture of mathematics Eugenia Cheng November 2000 Add to Reading List Source URL: cat.boffosocko.com Language: English - Date: 2015-06-01 01:56:30 Mathematics Academia Physics Category theory Theory Conceptual system Dimension Mathematical logic Mathematical analysis Algebra Emmy Noether Foundations of mathematics
3	657 Documenta Math. A Simple Criterion for Extending Natural Transformations to Higher K -Theory Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2011-09-20 08:02:15 Algebra Abstract algebra Mathematics Homological algebra Category theory Homotopy theory K-theory Functors Universal property Triangulated category Algebraic K-theory Natural transformation
4	HIGHER CATEGORIES IN A NUT-SHELL These are notes for a talk at the Max Planck Institute for Mathematics in SpringThe goal was to convince the audience that the necessary definitions for a good model of (symmetric Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2015-06-17 03:57:55 Mathematics Algebra Abstract algebra Homotopy theory Category theory Algebraic topology Functors Higher category theory Simplicial set Nerve Model category Monoidal category
5	Foundational, Compositional (Co)datatypes for Higher-Order Logic Category Theory Applied to Theorem Proving Dmitriy Traytel Add to Reading List Source URL: www21.in.tum.de Language: English - Date: 2015-11-16 04:08:00
6	AG-SEMINAR WS: ∞-CATEGORIES AND THEIR APPLICATIONS MORITZ GROTH AND GEORGIOS RAPTIS The aim of higher category theory is to develop a theory of ‘categories with morphisms of arbitrarily high dimension’ that Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2011-10-16 11:41:31 Algebra Mathematics Abstract algebra Category theory Homotopy theory Homological algebra Functors Algebraic geometry Model category Simplicial set Andr Joyal Higher category theory
7	Basic Notions Seminar November 2014 A brief course in model categories ABSTRACT. Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2014-11-09 16:34:04 Homotopy theory Model category Homotopical algebra Homotopy Higher category theory Topology Stable homotopy theory Homotopy group Homotopy type theory
8	Higher-Dimensional Categories: an illustrated guide book Eugenia Cheng and Aaron Lauda University of Cambridge Add to Reading List Source URL: cat.boffosocko.com Language: English - Date: 2015-06-01 01:42:41 Category theory Abstract algebra Algebraic topology Homotopy theory Operad theory Definition Simplicial set Nerve Category of being Equivalence of categories E-operad
9	Foundational, Compositional (Co)datatypes for Higher-Order Logic Category Theory Applied to Theorem Proving Dmitriy Traytel Technische Universität München Munich, Germany Add to Reading List Source URL: people.mpi-inf.mpg.de Language: English - Date: 2015-01-25 16:18:54 Category theory Functional programming F-algebra F-coalgebra Functor Initial algebra Monad Equivalence of categories Coalgebra Stoneech compactification
10	PROJECT DESCRIPTION: HIGHER CATEGORICAL STRUCTURES AND THEIR APPLICATIONS PROPOSED RESEARCH 1. Background, context, and perspective Eilenberg and Mac Lane introduced categories, functors, and natural transformations in t Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2002-09-30 18:59:34 Homotopy theory Algebraic topology Category theory Higher category theory Algebraic geometry Higher-dimensional algebra Topological quantum field theory Homotopy group Directed algebraic topology Monoidal category Algebraic K-theory Homotopy