Original scientific paper

**PL Morse theory**

Mladen Bestvina
; Department of Mathematics, University of Utah,

###### Abstract

Morse theory is an extremely versatile tool, useful in a variety of

situations and parts of topology and geometry. In these introductory

lectures we will cover the foundations and discuss some typical

applications. We will start by reviewing smooth Morse theory, then giving the PL counterpart. The rest of the sections consist of applications. The proofs are fairly detailed in the beginning but get sketchier as we go along. The reader is invited to find new applications.

###### Keywords

Morse theory, geometric group theory

###### Hrčak ID:

30883

###### URI

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