Johnson, FEA;
Walton, J;
(2000)
Parallizable manifolds and the fundamental group.
Mathematika
, 47
(1-2)
165 - 172.
10.1112/S0025579300015795.
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Abstract
ntroduction. Low-dimensional topology is dominated by the fundamental group. However, since every finitely presented group is the fundamental group of some closed 4-manifold, it is often stated that the effective influence of π1 ends in dimension three. This is not quite true, however, and there are some interesting border disputes. In this paper, we show that, by imposing the extra condition of parallelizability on the tangent bundle, the dominion of π1 is extended by an extra dimension.
| Type: | Article |
|---|---|
| Title: | Parallizable manifolds and the fundamental group |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/S0025579300015795 |
| Publisher version: | http://dx.doi.org/10.1112/S0025579300015795 |
| Language: | English |
| Additional information: | © 2000 Cambridge University Press |
| Keywords: | Problems, PUBLISHED, volume, Low-dimensional topology, Geometric structures on low-dimensional manifolds |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/80990 |
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