J. Munkres Topology

Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s and describes in detail the important theories that were discovered before 1960. Through the work of Poincaré, de Rham, Cartan, Hureqicz, and many others, this historical book also focuses on the emergence of new ideas and methods that have led 21st-century mathematicians towards new research directions.

Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s and describes in detail the important theories that were discovered before 1960. Through the work of Poincaré, de Rham, Cartan, Hureqicz, and many others, this historical book also focuses on the emergence of new ideas and methods that have led 21st-century mathematicians towards new research directions.

Authors: Fajstrup, L., Goubault, E., Haucourt, E., Mimram, S., Raussen, M.
Addresses the needs of graduate students, researchers, and practitioners in the field, mathematicians and computer scientists alike
Presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis
Describes the state space of a concurrent program, which is described as a higher-dimensional space, the topology of which encodes the essential properties of the system