An invitation to Alexandrov geometry: CAT(0) spaces


Here you can download our book

The source files can be downloaded from the project page on GitHub; the final publication is available at Springer via DOI: 10.1007/978-3-030-05312-3. An older (CC BY-SA)-version is available at arXiv:1701.03483.

The idea is to demonstrate the beauty and power of Alexandrov geometry by reaching interesting applications and theorems with a minimum of preparation. These notes arise as an offshoot of the book on Alexandrov geometry we have been writing for a number of years. The notes were shaped in a number of lectures given by the third author.

Here is the list of topics in the second edition.

Misprints in the published version