- Synthetic spectra and the cellular motivic category
2022/12/20 by Piotr Pstrągowski · 8 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cohomology #Derived category #Equivalence (formal languages) #Functor #Hochschild homology #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Physics #Pure mathematics #Sheaf #Spectral line #Spectral sequence #Spectrum (functional analysis) #Triangulated category
- Generalized network structures: The configuration model and the canonical ensemble of simplicial complexes
2016/02/29 by Owen T. Courtney, Ginestra Bianconi · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Abstract simplicial complex #Bioinformatics and Genomic Networks #Combinatorics #Complex Network Analysis Techniques #Mathematics #Model category #Pure mathematics #Simplicial approximation theorem #Simplicial complex #Simplicial homology #Simplicial manifold #Simplicial set #Topological and Geometric Data Analysis #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.stat-mech #h-vector #physics.soc-ph
- A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type
2016/02/04 by Ilan Barnea, Tomer M. Schlank · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #Base (topology) #Discrete mathematics #Fibration #Functor #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematical analysis #Mathematics #Model category #Pure mathematics #Sphingolipid Metabolism and Signaling #Topos theory #Type (biology)
- Categorical Homotopy Theory
2014/05/26 by Emily Riehl · 2 citations
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Logic, programming, and type systems #Homotopy #Mathematics #Categorical variable #Model category #Functor #Cofibration #Algebra over a field #Homotopy hypothesis #Category theory #Axiom #Perspective (graphical) #Pure mathematics #Homotopy category #n-connected #Whitehead theorem #Homotopy lifting property #Geometry
- Cohomological descent theory for a morphism of stacks and for equivariant derived categories
2011/03/16 by Alexey Elagin, Alexei D Elagin · 1 citation
Mathematics · #Action (physics) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Base (topology) #Base change #Category theory #Closed category #Corollary #Derived category #Descent (aeronautics) #Enriched category #Equivariant map #Functor #Geography #Group (periodic table) #Group action #Group theory #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematical analysis #Mathematics #Model category #Morphism #Pure mathematics #Reductive group #Scheme (mathematics) #Statistics #Variety (cybernetics) #math.AG
- On the homotopy groups of symmetric spectra
2006/08/02 by Stefan Schwede · 1 citation
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cofibration #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy sphere #Mathematics #Model category #Morphism #Pure mathematics #Regular homotopy #math.AT #msc:55P42 #n-connected
- Model structures and the Oka Principle
2004/04/23 by Finnur Lárusson · 12 citations
Mathematics · #Abstract simplicial complex #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Covariance and contravariance of vectors #Functor #Holomorphic function #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Pure mathematics #Simplicial approximation theorem #Simplicial complex #Simplicial homology #Simplicial manifold #Simplicial set #Topology (electrical circuits) #h-vector
- Quasi-categories and Kan complexes
2002/11/01 by André Joyal, A. Joyal · 46 citations
Mathematics · Medicine · #Algebraic structures and combinatorial models #Combinatorics #Computer science #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Intracranial Aneurysms: Treatment and Complications #Mathematics #Model category #Pure mathematics #Set (abstract data type)
- Simplicial Homotopy Theory
1999/01/01 by Paul G. Goerss, John F. Jardine · 5 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Pure mathematics
- Homotopy Theories and Model Categories
1995/01/01 by W. G. Dwyer, W.G. Dwyer, Jan Spaliński +1 · 5 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #Artificial intelligence #Axiom #Category of sets #Class (philosophy) #Computer science #Concrete category #Context (archaeology) #Enriched category #Epistemology #Functor #Geometry #Higher category theory #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Interpretation (philosophy) #Mathematics #Model category #Morphism #Pure mathematics #Simple (philosophy) #Sphingolipid Metabolism and Signaling
- Approximating homotopy equivalences of surfaces by homeomorphisms
1983/01/01 by W. Jakobsche · 1 citation
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Cofibration #Functional Equations Stability Results #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Pure mathematics #Regular homotopy #Whitehead theorem #n-connected