| Property | Value |
|---|
| dbpprop:abstract
|
- In geometric topology, a band sum of two <math>n</math>-dimensional knots <math>K_{1}</math> and <math>K_{2}</math> along an <math>n+1</math>-dimensional 1-handle <math>h</math> called a band is an <math>n</math>-dimensional knot <math>K</math> such that: There is an <math>n+1</math>-dimensional 1-handle <math>h</math> connected to <math>(K_{1},K_{2})</math> embedded in <math>S^{n+2}</math>. There are points <math>p_{1}\in K_{1}</math> and <math>p_{2}\in K_{2}</math> such that <math>h</math> is attached to <math>K_{1}\sqcup K_{2}</math> along <math>p_{1}\sqcup p_{2}</math>. <math>K</math> is the <math>n</math>-dimensional knot obtained by this surgery. A band sum is thus a generalization of the usual connected sum of knots.
|
| dbpprop:hasPhotoCollection
| |
| rdf:type
| |
| rdfs:comment
| |
| rdfs:label
| |
| owl:sameAs
| |
| skos:subject
| |
| foaf:page
| |
| is owl:sameAs
of | |
![[RDF Data]](/statics/sw-cube.png)
