File:Hotta4.pdf
Size of this JPG preview of this PDF file: 424 × 599 pixels. Other resolutions: 170 × 240 pixels  339 × 480 pixels  424 × 600 pixels  543 × 768 pixels  1,240 × 1,753 pixels. 
Original file (1,240 × 1,753 pixels, file size: 5.52 MB, MIME type: application/pdf, 444 pages)
Structured data
Captions
Description 
English: Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞groupoids. Homotopy type theory offers a new “univalent” foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types. The present book is intended as a first systematic exposition of the basics of univalent foundations, and a collection of examples of this new style of reasoning — but without requiring the reader to know or learn any formal logic, or to use any computer proof assistant. We believe that univalent foundations will eventually become a viable alternative to set theory as the “implicit foundation” for the unformalized mathematics done by most mathematicians.

Date  
Source  The Univalent Foundations Program Institute for Advanced Study 
Author  The Univalent Foundations Program Institute for Advanced Study 
LicensingEdit

This file is licensed under the Creative Commons AttributionShare Alike 3.0 Unported license.  

File history
Click on a date/time to view the file as it appeared at that time.
Date/Time  Thumbnail  Dimensions  User  Comment  

current  07:48, 22 June 2013  1,240 × 1,753, 444 pages (5.52 MB)  ComputerHotline (talk  contribs)  {{Information Description={{enHomotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touch... 
 You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.