MENÜ MENÜ  

cover

Hamiltonian submanifolds of regular polytopes

Felix Effenberger

ISBN 978-3-8325-2758-7
194 Seiten, Erscheinungsjahr: 2011
Preis: 38.00 €
Hamiltonian submanifolds of regular polytopes
This work is set in the field of combinatorial topology, sometimes also referred to as discrete geometric topology, a field of research in the intersection of topology, geometry, polytope theory and combinatorics. The main objects of interest in the field are simplicial complexes that carry some additional structure, forming combinatorial triangulations of the underlying PL manifolds. In particular, polyhedral manifolds as subcomplexes of the boundary complex of a convex regular polytope are investigated. Such a subcomplex is called k-Hamiltonian if it contains the full k-skeleton of the polytope.

The notion of tightness of a PL-embedding of a triangulated manifold is closely related to its property of being a Hamiltonian subcomplex of some convex polytope. Tightness of a triangulated manifold is a topological condition, roughly meaning that any simplex-wise linear embedding of the triangulation into Euclidean space is "as convex as possible". It can thus be understood as a generalization of the concept of convexity.

In even dimensions, there exist purely combinatorial conditions which imply the tightness of a triangulation. In this work, other sufficient and purely combinatorial conditions which can be applied to the odd-dimensional case as well are presented.


Wollen auch Sie Ihre Dissertation veröffentlichen?

cover cover cover cover cover cover cover cover cover
Keywords:
  • Triangulierte Mannigfaltigkeit
  • Hamiltonscher Unterkomplex
  • Straffheit
  • Zentralsymmetrisch
  • Stapelpolytop

KAUFOPTIONEN

38.00 €
auf Lager
Versandkostenfrei innerhalb Deutschlands

36.50 €
48.00 €
52.00 €

(D) = innerhalb Deutschlands
(W) = außerhalb Deutschlands

Sie können das eBook (PDF) entweder einzeln herunterladen oder in Kombination mit dem gedruckten Buch (Bundle) erwerben. Der Erwerb beider Optionen wird über PayPal abgerechnet - zur Nutzung muss aber kein PayPal-Account angelegt werden. Mit dem Erwerb des eBooks bzw. Bundles akzeptieren Sie unsere Lizenzbedingungen für eBooks.

Bei Interesse an Multiuser- oder Campus-Lizenzen (MyLibrary) füllen Sie bitte das Formular aus oder schreiben Sie eine email an order@logos-verlag.de