Low-dimensional topology and ordering groups

In: Mathematica Slovaca, vol. 64, no. 3

Dale Rolfsen

Detaily:

Rok, strany: 2014, 579 - 600

Kľúčové slová:

group ordering, manifold, surface, braid group, foliation

DOI: https://doi.org/10.2478/s12175-014-0228-4

O článku:

This expository paper explores the interaction of group ordering with topological questions, especially in dimensions $2$ and $3$. Among the topics considered are surfaces, braid groups, $3$-manifolds and their structures such as foliations and mappings between them. A final section explores currently ongoing research regarding spaces of homeomorphisms and their orderability properties. This is not meant to be a comprehensive survey, but rather just a taste of the rich relationship between topology and the theory of ordered groups.

Ako citovať:

ISO 690:

Rolfsen, D. 2014. Low-dimensional topology and ordering groups. In Mathematica Slovaca, vol. 64, no.3, pp. 579-600. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0228-4

APA:

Rolfsen, D. (2014). Low-dimensional topology and ordering groups. Mathematica Slovaca, 64(3), 579-600. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0228-4

O vydaní: