Stratified spaces

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A topological space decomposed into pieces called strata, each of which is a manifold.
gptkbp:example CW complexes
algebraic varieties with singularities
orbit spaces of group actions
gptkbp:field gptkb:geometry
gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Stratified spaces
gptkbp:notableContributor gptkb:Robert_MacPherson
gptkb:John_Mather
gptkb:Mark_Goresky
gptkbp:property Strata fit together in a specific way, often with lower-dimensional strata forming the singularities.
Each stratum is locally closed.
gptkbp:relatedTo manifolds
singular spaces
gptkbp:usedIn gptkb:algebraic_geometry
differential topology
intersection homology
gptkbp:bfsParent gptkb:Intersection_cohomology
gptkbp:bfsLayer 8