Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:television_channel
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Poincaré_conjecture
|
| gptkbp:analyzes |
a pair of handlebodies glued together
|
| gptkbp:applies_to |
hyperbolic manifolds
|
| gptkbp:can_be |
Heegaard diagrams
used to study knot theory |
| gptkbp:constructed_in |
triangulations of 3-manifolds
|
| https://www.w3.org/2000/01/rdf-schema#label |
Heegaard splitting
|
| gptkbp:involves |
handlebodies
|
| gptkbp:is |
a method for classifying 3-manifolds
|
| gptkbp:is_a_framework_for |
the field of topology
|
| gptkbp:is_analyzed_in |
topological invariants
the structure of 3-manifolds |
| gptkbp:is_associated_with |
the study of surfaces
|
| gptkbp:is_connected_to |
the theory of 3-manifold groups
|
| gptkbp:is_described_as |
a way to represent a 3-manifold
|
| gptkbp:is_essential_for |
the study of 3-manifold topology
understanding 3-manifold topology |
| gptkbp:is_explored_in |
the properties of 3-manifolds
|
| gptkbp:is_fundamental_to |
mathematical topology
the study of 3-manifold topology. |
| gptkbp:is_related_to |
the study of 3-manifold invariants
the concept of ambient isotopy the concept of genus |
| gptkbp:is_represented_in |
various mathematical frameworks
a Heegaard diagram |
| gptkbp:is_studied_in |
the topology of 3-manifolds
the topology of surfaces |
| gptkbp:is_used_in |
the classification of 3-manifolds
|
| gptkbp:key |
the study of low-dimensional topology
the theory of 3-manifolds |
| gptkbp:named_after |
Martin Heegaard
|
| gptkbp:related_concept |
differential topology
the study of geometric topology |
| gptkbp:related_to |
3-manifolds
|
| gptkbp:research |
knot complements
|
| gptkbp:scientific_classification |
the number of components
the number of handles |
| gptkbp:significance |
the study of geometric structures
|
| gptkbp:subject |
algebraic topology
|
| gptkbp:technique |
geometric topology
analyzing manifold embeddings analyzing the structure of manifolds classifying 3-manifolds by genus constructing 3-manifolds constructing Heegaard surfaces decomposing 3-manifolds into simpler pieces decomposing manifolds into handlebodies the topology of 3-manifolds understanding the topology of knots |
| gptkbp:type_of |
decomposition of manifolds
|
| gptkbp:used_in |
gptkb:television_channel
|