Topological K-Theory

GPTKB entity

Properties (64)
Predicate Object
gptkbp:instanceOf Mathematics
gptkbp:hasClient representation theory
gptkbp:hasRelatedPatent string theory
https://www.w3.org/2000/01/rdf-schema#label Topological K-Theory
gptkbp:includes K-groups
gptkbp:is_studied_in topological properties
topological invariants
geometric structures
gptkbp:isA K-Theory
gptkbp:isAssociatedWith stable K-theory
gptkbp:isAvenueFor cryptography
computer science
data analysis
machine learning
signal processing
network theory
quantum_field_theory
gptkbp:isCharacterizedBy K-theory spectra
gptkbp:isConnectedTo mathematical modeling
algebraic topology
mathematical structures
differential forms
index theory
cohomological methods
stable homotopy
algebraic_K-theory
gptkbp:isExploredIn topological spaces
geometric topology
spectral sequences
homotopical algebra
gptkbp:isInfluencedBy set theory
category theory
homological algebra
mathematical logic
functional analysis
dynamical systems
gptkbp:isPartOf theoretical physics
abstract algebra
modern mathematics
gptkbp:isRelatedTo Cohomology
differential geometry
homotopy theory
topological groups
sheaf theory
topological invariants
homotopy equivalences
fiber bundles
homotopy groups
gptkbp:isStudiedIn gptkb:quantum_computing
mathematical physics
mathematicians
mathematical research
theoretical physicists
topologists
gptkbp:isUsedBy manifold structures
homotopy types
bundles over manifolds
vector bundles over manifolds
gptkbp:isUsedIn algebraic topology
mathematical logic
gptkbp:isVisitedBy gptkb:Michael_Atiyah
gptkbp:offersCoursesIn topology
gptkbp:provides invariants of topological spaces
gptkbp:research vector bundles