Elements of ∞-Category Theory

Released on by Emily Riehl
preview-18

  • Elements of ∞-Category Theory Book Detail

  • Author : Emily Riehl
  • Release Date : 2022-02-10
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 782
  • ISBN 13 : 1108952194
  • File Size : 6,6 MB
DOWNLOAD BOOK

Elements of ∞-Category Theory by Emily Riehl PDF Summary

Book Description: The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ∞-categories from first principles in a model-independent fashion using the axiomatic framework of an ∞-cosmos, the universe in which ∞-categories live as objects. An ∞-cosmos is a fertile setting for the formal category theory of ∞-categories, and in this way the foundational proofs in ∞-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.

Disclaimer: www.yourbookbest.com does not own Elements of ∞-Category Theory books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.