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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Strong General Position for Simplicial Complexes
by
Troy L. Goodsell
Brigham Young University-Idaho

In this paper we consider the concept of Strong General Position for simplicial complexes. We will define what is meant by strong general position and provide a proof of an inequality providing a bound on the number of disjoint simplexes in the complex that an affine plane may intersect. The proof handles the finite dimensional cases and then is generalized to the infinite dimensional case and to separable Hilbert Spaces. We will also discuss applications and examples.

Date received: March 28, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqm-00.