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Introduction to Infinity-Categories

Introduction to Infinity-Categories

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This textbook provides an introduction to infinity-categories, a tool used in modern pure mathematics, with a focus on their basics and applications. It is based on lectures by the author and is designed to be accessible to both experts and non-experts, with accompanying exercises for classroom use or self-study.

Format: Paperback / softback
Length: 296 pages
Publication date: 22 April 2021
Publisher: Springer Nature Switzerland AG


This comprehensive textbook serves as an essential introduction to the fascinating realm of infinity-categories, a powerful tool employed across various branches of modern pure mathematics. It delves into the fundamental aspects of the theory, providing ample explanations and intricate details while guiding the reader seamlessly from the foundational definitions to advanced outcomes, including the highly significant adjoint functor theorems.

The foundation of this textbook is rooted in the author's captivating lectures on the subject matter. While the content itself is familiar to experts in the field, the author's unique approach to presentation makes it accessible and engaging to non-experts as well. Complementing the textbook, a series of exercises are included, making it an invaluable resource for both classroom instruction at the graduate level and as an introductory text for those with a keen interest in the topic.

By exploring infinity-categories, this textbook offers a profound exploration into the mathematical structures that underpin many contemporary mathematical developments. It sheds light on the connections between different areas of mathematics, facilitating a deeper understanding of complex concepts and enabling researchers to tackle challenging problems with greater efficiency. Whether you are a seasoned mathematician or a newcomer seeking to delve into the world of infinity-categories, this textbook is an indispensable guide that will enrich your mathematical journey.

Weight: 474g
Dimension: 155 x 234 x 21 (mm)
ISBN-13: 9783030615239
Edition number: 1st ed. 2021

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