Download Categorical Homotopy Theory (New Mathematical Monographs) by Emily Riehl PDF

Compactification of Symmetric Spaces (Progress in Mathematics)

The idea that of symmetric area is of critical value in lots of branches of arithmetic. Compactifications of those areas were studied from the issues of view of illustration thought, geometry, and random walks. This paintings is dedicated to the examine of the interrelationships between those numerous compactifications and, specifically, specializes in the martin compactifications.

Handbook of Algebraic Topology

Algebraic topology (also often called homotopy concept) is a flourishing department of contemporary arithmetic. it's very a lot a global topic and this can be mirrored within the history of the 36 top specialists who've contributed to the guide. Written for the reader who already has a grounding within the topic, the amount includes 27 expository surveys masking the main energetic parts of analysis.

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts)

This article on research of Riemannian manifolds is an intensive creation to issues lined in complex study monographs on Atiyah-Singer index conception. the most topic is the learn of warmth movement linked to the Laplacians on differential kinds. this gives a unified remedy of Hodge thought and the supersymmetric facts of the Chern-Gauss-Bonnet theorem.

Modules over Operads and Functors (Lecture Notes in Mathematics)

This monograph offers a evaluation of the root of operad conception. It additionally reviews buildings of modules over operads as a brand new machine to version functors among different types of algebras as successfully as operads version different types of algebras.