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Model category
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11	Towards Maintaining Consistency of Spatial Databases Alia I. Abdelmoty and Chris B. Jones Dept. of Computer Studies, University of Glamorgan, Pontypridd, Mid Glamorgan, CF37 1DL, Wales, U.K. email: aiabdel,cbjones@glam.a Add to Reading List Source URL: users.cs.cf.ac.uk Language: English - Date: 2005-12-13 09:40:57 Cognitive science Cognition Mathematics Computing Knowledge representation Category theory Equivalence of categories Geographic information system Spatial database Object Data model Spatialtemporal reasoning
12	Algebraic models for rational equivariant stable homotopy theory (joint work with John Greenlees) Conjecture.(Greenlees) For any compact Lie group G there is an abelian category A(G) such that Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2010-06-25 16:26:28 Algebra Abstract algebra Mathematics Category theory Homological algebra Homotopy theory Algebraic topology Cohomology theories Pullback Adjoint functors Model category Equivalence of categories
13	407 Documenta Math. Quotients of MGL, Their Slices and Their Geometric Parts Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2015-07-16 12:25:57 Mathematics Abstract algebra Algebra Homotopy theory Algebraic topology Category theory Functors Model category Simplicial set Homotopy category Algebraic K-theory Cohomology
14	393 Documenta Math. Slices and Transfers Marc Levine1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-06-21 15:52:34 Mathematics Algebra Abstract algebra Homotopy theory Homotopy category Spectrum Triangulated category Homotopy Representable functor Motive Model category Simplicial presheaf
15	OPERADIC CATEGORIES, A∞ -CATEGORIES AND n-CATEGORIES J.P. MAY When I offered to talk here, I asked myself if I had something suitable for a nice short 20 minute talk, and sent in an abstract about “cores of spaces an Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2001-08-18 17:54:26 Algebra Mathematics Abstract algebra Category theory Homotopy theory Algebraic topology Highly structured ring spectrum Operad theory A-operad Enriched category Model category Functor
16	445 Documenta Math. Motivic Symmetric Spectra J. F. Jardine Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2001-01-23 03:50:27 Homotopy theory Mathematics Abstract algebra Algebra Model category Simplicial presheaf Simplicial set A homotopy theory Weak equivalence Fibration Motivic cohomology Kan fibration
17	691 Documenta Math. Affine Simplices in Oka Manifolds ´russon Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-12-17 05:04:14 Mathematics Topology Homotopy theory Mathematical analysis Complex manifolds Stein manifold Simplicial set Model category Manifold Retract Kan fibration Several complex variables
18	Correction to: Simplicial structures on model categories and functors American Journal of Mathematics), by Charles Rezk, Stefan Schwede and Brooke Shipley Edoardo Lanari has pointed out a gap which stem Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2015-09-23 09:04:48 Mathematics Homotopy theory Functors Abstract algebra Algebra Category theory Algebraic topology Model category Simplicial set Adjoint functors Span Natural transformation
19	409 Documenta Math. Enriched Functors and Stable Homotopy Theory ¨ ndigs, Paul Arne Østvær Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-12-21 18:50:34 Algebra Mathematics Category theory Functors Homotopy theory Monoidal categories Monoidal functor Enriched category Model category Simplicial set Natural transformation Hom functor
20	HIGHER CATEGORIES IN A NUT-SHELL These are notes for a talk at the Max Planck Institute for Mathematics in SpringThe goal was to convince the audience that the necessary definitions for a good model of (symmetric Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2015-06-17 03:57:55 Mathematics Algebra Abstract algebra Homotopy theory Category theory Algebraic topology Functors Higher category theory Simplicial set Nerve Model category Monoidal category

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