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Attributs	Valeurs
type	Concept
Is Part Of	http://dewey.info/class/ http://msc2010.org/resources/MSC/2010/
Date Issued	2011-06-22
http://msc2010.org...010/msc2010#scope	A full code from DD21.
skos:notation	512.55
skos:scopeNote	A full code from DD21.
is skos:relatedMatch of	Topological lattices, order topologies Continuous lattices and posets, applications Ring-theoretic properties Categories of algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory of quadratic and Hermitian forms Homological methods (field theory) Topological fields Homological methods Topological rings and modules Category-theoretic methods and results (except as in 16D90) Homological methods Lie algebras and Lie superalgebras Category theory; homological algebra General theory of categories and functors Special categories Categories and theories Categories with structure Categories and geometry Homological algebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory Grothendieck groups and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$K_0$"><mml:msub><mml:mi>K</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math> Whitehead groups and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$K_1$"><mml:msub><mml:mi>K</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> Steinberg groups and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$K_2$"><mml:msub><mml:mi>K</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> Algebraic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory of spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory in geometry <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory of forms <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras Other groups related to topology or analysis Associated Lie structures Connections with homological algebra and category theory Groupoids (i.e. small categories in which all morphisms are isomorphisms) Topological groups, Lie groups Topological and differentiable algebraic systems Locally compact abelian groups (LCA groups) Locally compact groups and their algebras Lie groups Complex spaces with a group of automorphisms Topological algebras, normed rings and algebras, Banach algebras Commutative Banach algebras and commutative topological algebras Topological (rings and) algebras with an involution Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) Methods of category theory in functional analysis Individual linear operators as elements of algebraic systems Groups and semigroups of linear operators, their generalizations and applications Categorical methods Presheaves and sheaves Algebraic properties of function spaces Topological representations of algebraic systems Topological groups Topological fields, rings, etc. Transformation groups and semigroups Homotopy groups Applied homological algebra and category theory Fundamental group, presentations, free differential calculus Topological methods in group theory Topological transformation groups Homology and homotopy of topological groups and related structures Groups of diffeomorphisms and homeomorphisms as manifolds Groups and semigroups of nonlinear operators Pseudogroups, differentiable groupoids and general structures on manifolds

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