The set of paths in a space and its algebraic structure. A historical account

DOI10.5802/afst.1392zbMath1382.01006OpenAlexW2323685312MaRDI QIDQ2448533

Ralf Krömer

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: https://semanticscholar.org/paper/8be1c96d205978138e76bd7d36bf2c2b4b4cdded

zbMATH Keywords

fundamental groupfundamental groupoid`structuralism'paths in space

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of algebraic topology (55-03)

Cites Work

• Construction of universal bundles. I
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• From problems to structures: the Cousin problems and the emergence of the sheaf concept
• Historical evolution of the concept of homotopic paths
• Emergence of the theory of Lie groups. An essay in the history of mathematics 1869--1926
• Holonomy and parallel transport for abelian gerbes
• Modern algebra and the rise of mathematical structures
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• Die Fundamentalgruppe von Komplexen
• Differentiable manifolds
• Homology with local coefficients
• Topological methods for the construction of tensor functions
• From Groups to Groupoids: a Brief Survey
• Überdeckungen von Komplexen.
• The Architecture of Mathematics
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