thanks
- To: mathgroup at smc.vnet.net
- Subject: [mg6551] thanks
- From: "Arturas Acus" <acus at itpa.lt>
- Date: Tue, 1 Apr 1997 19:00:50 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Thanks everybody, Who helped me with Mobius strip.
I used the strip to demonstrate, that illustrative definition
of winding (or topological ) number
[number of times one S^k sphere (k_Integer >0) is covered by
another] is not acceptable for manifolds with internal structure
(it is for manifolds of dimension 2 or higher). An example is mappings
cylinder A -> cylinder B; versus cylinder C ->Mobius strip D.
Obviously, because one can not deform continuously
Mobius strip into cylinder, we need manifold triangulation concept.
Arturas Acus
Institute of Theoretical
Physics and Astronomy
Gostauto 12, 2600,Vilnius
Lithuania
E-mail: acus at itpa.lt
Fax: 370-2-225361
Tel: 370-2-612906