Daniel Quillen, the father of abstract homotopy theory
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Publication:5397676
DOI10.1017/is013001006jkt204zbMath1282.55001OpenAlexW2012950713MaRDI QIDQ5397676
Jean-Claude Thomas, Micheline Vigué-Poirrier
Publication date: 24 February 2014
Published in: Journal of K-theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/is013001006jkt204
Rational homotopy theory (55P62) History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) Homotopy functors in algebraic topology (55P65) History of algebraic topology (55-03) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology (55-01)
Cites Work
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- On the chain algebra of a loop space
- Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps
- Rational homotopy theory of fibrations
- Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos
- Inert sets and the Lie algebra associated to a group
- Function complexes in homotopical algebra
- The double suspension and exponents of the homotopy groups of spheres
- A counterexample to a conjecture of Serre
- Non-commutative graded algebras and their Hilbert series
- Strong convergence of the Eilenberg-Moore spectral sequence
- Minimal models in homotopy theory
- The homology theory of the closed geodesic problem
- Torsion in homotopy groups
- DGA algebras as a Quillen model category relations to shm maps
- Rational homotopy nilpotency of self-equivalences
- Deformation quantization of Poisson manifolds
- Rational homotopy theory
- A proof of Ganea's conjecture for rational spaces
- Lie models for the components of sections of a nilpotent fibration
- On the classification of G‐manifolds up to finite ambiguity
- Structures différentiables sur les types d'homotopie rationnelle simplement connexes
- «Autopsie d'un meurtre» dans l'homologie d'une algèbre de chaînes
- Strongly homotopy lie algebras
