Mathematical models of abstract systems: knowing abstract geometric forms

DOI10.5802/afst.1393zbMath1286.00041OpenAlexW2324474558MaRDI QIDQ2448534

Jean-Pierre Marquis

Publication date: 2 May 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2013_6_22_5_969_0/

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Homotopy theory (55P99) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic topology (55-00)

Cites Work

• Notes on 2-groupoids, 2-groups and crossed modules
• Three models for the homotopy theory of homotopy theories
• Abstract homotopy theory and homotopy theory of functor category
• The certain exact sequence of Whitehead and the classification of homotopy types of CW-complexes
• Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids
• \(\mathbb{A}^1\)-homotopy theory
• Monoidal globular categories as a natural environment for the theory of weak \(n\)-categories
• Groupoids and crossed objects in algebraic topology
• Model categories in algebraic topology
• Atoms of topology
• A new higher homotopy groupoid: the fundamental globular \(\omega\)-groupoid of a filtered space
• Trends in the profession of mathematics
• On the homotopy theory of \(n\)-types
• Tool and object. A history and philosophy of category theory
• From a geometrical point of view. A study of the history and philosophy of category theory
• Homotopical algebra
• Rational homotopy theory
• The homotopy category is a homotopy category
• Categorical homotopy theory
• On homotopy type and deformation retracts
• ABSTRACT HOMOTOPY. II
• ABSTRACT HOMOTOPY. III
• ABSTRACT HOMOTOPY. IV
• The classifying space of a crossed complex
• Internal Categorical Structures in Homotopical Algebra
• Homotopy theoretic models of identity types
• From Groups to Groupoids: a Brief Survey
• Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules
• Abstract Homotopy Theory
• Complicial sets characterising the simplicial nerves of strict 𝜔-categories
• Completions in Abstract Homotopy Theory
• Abstract homotopy theory and generalized sheaf cohomology
• On the 3-Type of a Complex
• Combinatorial homotopy. I
• Combinatorial homotopy. II
• General Theory of Natural Equivalences
• ABSTRACT HOMOTOPY
• Simplicial homotopy theory
• On the Lusternik-Schnirelmann category
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Universal homotopy theories
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mathematical models of abstract systems: knowing abstract geometric forms