Petersburg Department of Steklov Institute of Mathematics

PREPRINT 15/2000


S.V.BUYALO

SPACES OF CURVATURE BOUNDED ABOVE

This preprint was accepted September, 2000
Contact: S.V.Buyalo

ABSTRACT:

A short survey on Curvature Bounded Above (CBA) spaces. Local
properties, constructions and results are discussed.

Contents

1. Motivation
2. Defining CBA
3. Propagation from local to global
4. Recognizing CBA-spaces
5. Different types of convergence
6. Infinitesimal properties of CBA-spaces
7. Gluing CBA-spaces
8. 2-dimensional polyhedra


                       
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