Cubical Homotopy Theory

·
· New Mathematical Monographs Buch 25 · Cambridge University Press
E-Book
649
Seiten
Bewertungen und Rezensionen werden nicht geprüft  Weitere Informationen

Über dieses E-Book

Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers–Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.

Autoren-Profil

Brian A. Munson is an Assistant Professor of Mathematics at the US Naval Academy. He has held postdoctoral and visiting positions at Stanford University, Harvard University, and Wellesley College, Massachusetts. His research area is algebraic topology, and his work spans topics such as embedding theory, knot theory, and homotopy theory.

Ismar Volić is an Associate Professor of Mathematics at Wellesley College, Massachusetts. He has held postdoctoral and visiting positions at the University of Virginia, Massachusetts Institute of Technology, and Louvain-la-Neuve University in Belgium. His research is in algebraic topology and his articles span a wide variety of subjects such as knot theory, homotopy theory, and category theory. He is an award-winning teacher whose research has been recognized by several grants from the National Science Foundation.

Dieses E-Book bewerten

Deine Meinung ist gefragt!

Informationen zum Lesen

Smartphones und Tablets
Nachdem du die Google Play Bücher App für Android und iPad/iPhone installiert hast, wird diese automatisch mit deinem Konto synchronisiert, sodass du auch unterwegs online und offline lesen kannst.
Laptops und Computer
Im Webbrowser auf deinem Computer kannst du dir Hörbucher anhören, die du bei Google Play gekauft hast.
E-Reader und andere Geräte
Wenn du Bücher auf E-Ink-Geräten lesen möchtest, beispielsweise auf einem Kobo eReader, lade eine Datei herunter und übertrage sie auf dein Gerät. Eine ausführliche Anleitung zum Übertragen der Dateien auf unterstützte E-Reader findest du in der Hilfe.