Kashiwara's constructible sheaves
GPTKB entity
Statements (72)
Predicate | Object |
---|---|
gptkbp:instance_of |
gptkb:language
|
gptkbp:contributes_to |
representation theory
|
gptkbp:developed_by |
gptkb:Masaki_Kashiwara
mathematical concepts classical sheaf theory geometric analysis techniques sheaf cohomology theories |
gptkbp:has_applications_in |
mathematical physics
|
https://www.w3.org/2000/01/rdf-schema#label |
Kashiwara's constructible sheaves
|
gptkbp:interacts_with |
topological spaces
|
gptkbp:involves |
cohomology
|
gptkbp:is_applied_in |
algebraic geometry
computational mathematics mathematical modeling mathematical analysis mathematical software |
gptkbp:is_associated_with |
algebraic varieties
sheaf cohomology mathematical theories derived categories mathematical conjectures |
gptkbp:is_characterized_by |
constructibility condition
|
gptkbp:is_connected_to |
homotopy theory
analytic geometry local systems mathematical communities |
gptkbp:is_examined_in |
abstract algebra
topological methods complex geometry mathematical seminars |
gptkbp:is_explored_in |
research papers
advanced mathematics mathematical conferences mathematical literature mathematical research |
gptkbp:is_fundamental_to |
mathematical education
mathematical logic algebraic structures topos theory |
gptkbp:is_influenced_by |
algebraic topology
historical mathematics mathematical theories category theory principles |
gptkbp:is_influential_in |
category theory
|
gptkbp:is_part_of |
modern mathematics
mathematical frameworks geometric analysis mathematical discussions sheaf theory framework |
gptkbp:is_related_to |
singularities
topological invariants mathematical frameworks sheaf morphisms sheaf theory applications |
gptkbp:is_standardized_by |
sheaves on manifolds
|
gptkbp:is_studied_in |
sheaf theory
|
gptkbp:is_used_in |
homological algebra
|
gptkbp:is_utilized_in |
algebraic topology
differential equations functional analysis mathematical proofs mathematical simulations |
gptkbp:key |
gptkb:Physics
geometric topology geometric representation theory mathematical innovations microlocal analysis |
gptkbp:provides |
categorical framework
|
gptkbp:related_to |
D-modules
|
gptkbp:used_in |
perverse sheaves
|
gptkbp:bfsParent |
gptkb:Masaki_Kashiwara
|
gptkbp:bfsLayer |
7
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