Properties (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
homology theory
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:associated_with |
manifolds
|
| gptkbp:evaluates |
spectral sequences
|
| gptkbp:hasPrograms |
differential topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Novikov homology
|
| gptkbp:influenced |
category theory
K-theory |
| gptkbp:is_a |
homological algebra
|
| gptkbp:is_a_platform_for |
defining invariants
defining topological invariants |
| gptkbp:is_a_subject_of |
differential geometry
mathematical physics abstract algebra mathematical logic |
| gptkbp:is_a_time_for |
analyzing spaces
understanding the structure of spaces |
| gptkbp:is_a_tool_for |
analyzing the properties of spaces
classifying manifolds understanding fiber bundles |
| gptkbp:is_part_of |
theoretical physics
modern topology the mathematical landscape |
| gptkbp:is_recognized_for |
rings
|
| gptkbp:is_studied_in |
mathematics
topological invariants dynamical systems homotopy groups other homology theories the topology of high-dimensional manifolds |
| gptkbp:is_used_in |
algebraic topology
topological spaces topological data analysis chain complexes the study of algebraic topology the study of topological groups |
| gptkbp:isConnectedTo |
the study of algebraic varieties
cohomology theories surgery theory the study of algebraic topology the study of algebraic topology. the study of knots the_Novikov_conjecture |
| gptkbp:produces |
gptkb:S._P._Novikov
|
| gptkbp:related_to |
group theory
stable homotopy theory the topology of manifolds cobordism theory the study of homological dimensions the study of homotopy equivalences the study of manifolds with boundary |
| gptkbp:standardFeatures |
homology groups
singular homology |
| gptkbp:suitableFor |
string theory
quantum_field_theory |