On Some Problems From Combinatorial Topology

Name: On Some Problems From Combinatorial Topology
Brand: VDM Verlag
SKU: 9783639293319
Price: 1407 CZK
Availability: InStock

Autor: Keerti Vardhan Madahar

Jazyk:

Vazba: Brožovaná

Vydavatel: VDM Verlag

Dostupnost: U nakladatele na objednávku

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There is a close connection between Topology and Combinatorics stemming from the fact that most of t...

Informace o knize

Autor

Keerti Vardhan Madahar

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2010

Stránek

140

EAN

9783639293319

ISBN

3639293312

Enbook ID

06836415

Vydavatel

VDM Verlag

Hmotnost

213

Rozměry

152 x 229 x 8

Kompletní popis

There is a close connection between Topology and Combinatorics stemming from the fact that most of the compact topological spaces can be build up with finite simplicial complexes. Though finding small triangulations of such spaces is a topic of active current interest, analogous questions about maps between them have, somewhat surprisingly, remained neglected. A smooth map of constant rank between two closed smooth manifolds is triangulable but it is usually a hard problem to determine the least number of vertices required to triangulate a manifold or a smooth map beyween manifolds. In this book we give minmals simplicial maps from 2-manifolds to the 2-sphere, simplicial maps from 3-sphere to the 2-sphere and simplicial branched coverings of the real projective plane. While constructing simplicial branched covering maps we could realize that certain topological branched coverings of the real projective plane do not exist and certain exists topologically but cannot be realized combinatorially. So simplicial constructions not only help us to understand the topological facts but also leads to new inventions.

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