A First Course in Category Theory

• Verfasst von: Agore, Ana [VerfasserIn]
• Titel: A First Course in Category Theory
• Verf.angabe: by Ana Agore
• Verlagsort: Cham
• Verlag: Springer
• Jahr: 2023
• Umfang: 1 Online-Ressource (XIV, 284 p.)
• Gesamttitel/Reihe: Universitext
• ISBN: 978-3-031-42899-9
• DOI: doi:10.1007/978-3-031-42899-9
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Agore, Ana: A first course in category theory. - Cham : Springer, 2023. - xiv, 284 Seiten
• K10plus-PPN: 187638249X
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

1 Categories and Functors -- 2 -- Limits and Colimits -- 3 Adjoint Functors -- 4 Solutions to Selected Exercises. .

Abstract

This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles. Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory. Based on the author's course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study.