scientific article; zbMATH DE number 4113550
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Publication:4729021
zbMath0679.55016MaRDI QIDQ4729021
Marek Golasiński, Ronald Brown
Publication date: 1989
Full work available at URL: http://www.numdam.org/item?id=CTGDC_1989__30_1_61_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
fibrationweak equivalenceclosed model categorycofibrationCrossed complexescrossed module structureQuillen model category structure
Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes in algebraic topology (55U15)
Related Items (12)
Closed model structures for algebraic models of \(n\)-types ⋮ Spaces of maps into classifying spaces for equivariant crossed complexes ⋮ Strict \(\infty\)-groupoids are Grothendieck \(\infty\)-groupoids ⋮ Pointed homotopy and pointed lax homotopy of 2-crossed module maps ⋮ An embedding theorem for proper \(n\)-types ⋮ Suspensions of crossed and quadratic complexes, co-H-structures and applications ⋮ Homotopies of crossed complex morphisms of associative \(R\)-algebras ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Representing Bredon cohomology with local coefficients ⋮ On the Eilenberg-Zilber theorem for crossed complexes
Cites Work
- An interpretation of the cohomology groups \(H^ n(G,M)\)
- Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
- Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes
- Crossed \(n\)-fold extensions of groups and cohomology
- Cohomology of groups relative to a variety
- On the algebra of cubes
- Colimit theorems for relative homotopy groups
- Homotopical algebra
- Fibrations of groupoids
- Kan-Bedingungen und abstrakte Homotopietheorie. (Kan conditions and abstract homotopy theory)
- Crossed complexes and chain complexes with operators
- The classifying space of a crossed complex
- A Note on Homotopy Equivalences
- Combinatorial homotopy. II
- Simple Homotopy Types
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