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Free Quillen Factorization Systems
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Published/Copyright:
February 25, 2010
Abstract
The notion of Quillen factorization system is obtained by strengthening the left and right lifting properties in a Quillen model category to the unique diagonalization property. An equivalent description of this notion is given in terms of a double factorization system which decomposes each arrow uniquely into three factors. The free category with Quillen factorization system over a given category is described.
Key words and phrases:: Quillen factorization system; double factorization system; free Quillen factorization system
Received: 2002-08-03
Published Online: 2010-02-25
Published in Print: 2002-December
© Heldermann Verlag
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- Chain Theories and Simplicial Abelian Group Spectra
- Crossed Complexes, and Free Crossed Resolutions for Amalgamated Sums and HNN-Extensions of Groups
- Boolean Galois Theories
- Stem Extensions and Stem Covers of Leibniz Algebras
- Central Series for Groups with Action and Leibniz Algebras
- Roots of Unity as A Lie Algebra
- On the Equivalence of Quillen's and Swan's K-Theories
- A Magnus–Witt Type Isomorphism for Non-Free Groups
- The Whitehead Categorical Group of Derivations
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Keywords for this article
Quillen factorization system;
double factorization system;
free Quillen factorization system
Articles in the same Issue
- A Duality on Simplicial Complexes
- Chain Theories and Simplicial Abelian Group Spectra
- Crossed Complexes, and Free Crossed Resolutions for Amalgamated Sums and HNN-Extensions of Groups
- Boolean Galois Theories
- Stem Extensions and Stem Covers of Leibniz Algebras
- Central Series for Groups with Action and Leibniz Algebras
- Roots of Unity as A Lie Algebra
- On the Equivalence of Quillen's and Swan's K-Theories
- A Magnus–Witt Type Isomorphism for Non-Free Groups
- The Whitehead Categorical Group of Derivations
- Differential Equations, Spencer Cohomology, and Computing Resolutions
- On Construction of Signature of Quadratic Forms on Infinite-Dimensional Abstract Spaces
- A Property of the Degree Filtration of Polynomial Functors
- Free Quillen Factorization Systems
