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Constructing simplicial branched covers.

Authors :
Witte, Nikolaus
Source :
Advances in Geometry. 2009, Vol. 9 Issue 3, p437-456. 20p. 8 Diagrams.
Publication Year :
2009

Abstract

Izmestiev and Joswig described how to obtain a simplicial covering space (the partial unfolding) of a given simplicial complex, thus obtaining a simplicial branched cover [Adv. Geom. 3:191–255, 2003]. We present a large class of branched covers which can be constructed via the partial unfolding. In particular, for d ≤ 4 every closed oriented PL d-manifold is the partial unfolding of some polytopal d-sphere. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1615715X
Volume :
9
Issue :
3
Database :
Academic Search Index
Journal :
Advances in Geometry
Publication Type :
Academic Journal
Accession number :
42641497
Full Text :
https://doi.org/10.1515/ADVGEOM.2009.022