geometry and topology
E862008
Geometry and topology is a major branch of mathematics focused on the properties, shapes, and structures of spaces, ranging from classical Euclidean geometry to abstract manifolds and their continuous deformations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| geometry and topology canonical | 1 |
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf | branch of mathematics ⓘ |
| appliedIn |
computer graphics
ⓘ
computer vision ⓘ cosmology ⓘ data analysis ⓘ general relativity ⓘ quantum field theory ⓘ robotics ⓘ string theory ⓘ theoretical physics ⓘ topological data analysis ⓘ |
| concerns |
compactness
ⓘ
connectedness ⓘ continuity ⓘ curvature ⓘ geodesics ⓘ invariants of spaces ⓘ |
| fieldOfStudy |
geometry
ⓘ
topology ⓘ |
| focusesOn |
geometric structures
ⓘ
properties of space ⓘ topological structures ⓘ |
| includesSubfield |
Euclidean geometry
NERFINISHED
ⓘ
Riemannian geometry NERFINISHED ⓘ algebraic geometry ⓘ algebraic topology ⓘ cohomology theory ⓘ complex geometry ⓘ convex geometry ⓘ differential geometry ⓘ differential topology ⓘ discrete geometry ⓘ general topology ⓘ geometric group theory ⓘ geometric topology ⓘ global analysis ⓘ homology theory ⓘ homotopy theory ⓘ knot theory ⓘ low-dimensional topology ⓘ metric geometry ⓘ symplectic geometry ⓘ topological manifolds ⓘ |
| relatedTo |
algebra
ⓘ
mathematical analysis ⓘ number theory ⓘ |
| studies |
continuous deformations of spaces
ⓘ
manifolds ⓘ shapes ⓘ spaces ⓘ structures of spaces ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.