Simple connectivity in polar spaces

Max Horn; Reed Nessler; Hendrik Van Maldeghem

doi:10.1515/forum-2014-0009

Published by De Gruyter April 15, 2015

Simple connectivity in polar spaces

Max Horn , Reed Nessler and Hendrik Van Maldeghem

From the journal Forum Mathematicum

https://doi.org/10.1515/forum-2014-0009

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Abstract

We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by completing the job for the non-embeddable polar spaces and some polar spaces with small parameters.

Keywords: Non-embeddable polar space; opposition; covering degree; simple connectivity

MSC: 51E24

Received: 2014-1-16

Revised: 2014-10-5

Published Online: 2015-4-15

Published in Print: 2016-5-1

Simple connectivity in polar spaces

Abstract

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