Alexandrov Geometry Laurie Seiler and making friends with others

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Enlightenment thought

Alexandrov Geometry Laurie Seiler and making friends with othersAlexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a