2 edition of **Homotopy theory.** found in the catalog.

Homotopy theory.

Whitehead, George W.

- 20 Want to read
- 24 Currently reading

Published
**1950**
by Massachusetts Institute of Technology in [Cambridge
.

Written in English

- Homotopy theory.

**Edition Notes**

Statement | Compiled by Robert J. Aumann. |

The Physical Object | |
---|---|

Pagination | i, 168 p. |

Number of Pages | 168 |

ID Numbers | |

Open Library | OL16587512M |

Applications of homological algebra to stable homotopy theory. Pages Adams, J. Frank. Preview. Theorems of periodicity and approximation in homological algebra. Pages Adams, J. Frank Brand: Springer-Verlag Berlin Heidelberg. Nilpotence and periodicity in stable homotopy theory, also known as the orange book.. Nilpotence and periodicity in stable homotopy theory (Annals of Mathematics Studies, No ), Princeton, NJ, , .

As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular . of homotopy theory in the context of simplicial sets. Our principal goal is to establish the existence of the classical Quillen homotopy structure, which will then be applied, in various ways, throughout the rest File Size: KB.

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 /5. As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular Price: $

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About the book. 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. Introduction to Homotopy Homotopy theory. book is presented in nine chapters, taking the reader from ‘basic homotopy’ to obstruction theory with a lot of marvelous material in between.

Arkowitz’ book is a valuable text Cited by: Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between pure category theory and its Author: Birgit Richter. Book Description. The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is.

This book consists of notes for a second year graduate course in advanced topology given by Professor Whitehead at M.I.T. Presupposing a knowledge of the fundamental group and of algebraic topology as. 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 /5(3). ily exist. In the culmination of the ﬁrst part of this book, we apply this theory to present a uniform general construction of homotopy limits and colimits which satisﬁes both a local universal property File Size: 1MB.

This is a textbook on informal homotopy type theory. It is part of the Univalent foundations of mathematics project that took place at the Institute for Advanced Study in / License. This. Homotopy Type Theory refers to a new field of study relating Martin-Löf’s system of intensional, constructive type theory with abstract homotopy theory.

Propositional equality is interpreted as. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects Author: David Barnes, Constanze Roitzheim.

My book Modal Homotopy Type Theory appears today with Oxford University Press. As the subtitle – ‘The prospect of a new logic for philosophy’ – suggests, I’m looking to persuade readers that the kinds. Modal Homotopy Type Theory The Prospect of a New Logic for Philosophy David Corfield.

The first book-length philosophical treatment of homotopy type theory, and its modal variants; With applications in. Introduction to Homotopy Theory is presented in nine chapters, taking the reader from ‘basic homotopy’ to obstruction theory with a lot of marvelous material in between.

Arkowitz’ book is a valuable text. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes.

A book published on Decem by Chapman and Hall/CRC (ISBN ), pages. Haynes Miller (ed.) Handbook of Homotopy Theory (table of contents) on homotopy theory, including.

A recommendation for a book on perverse sheaves. Ask Question Pramod Achar is working on a book on perverse sheaves and applications in representation theory. It's a great book. share Browse. For example, we have simplicial homotopy theory, where one studies simplicial sets instead of topological spaces.

As far as I understand, simplicial techniques are indispensible in modern topology. Then we. Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts.

another on Goodwillie calculus. But in the book that emerged it seemed thematically appropriate to draw the line at stable homotopy theory, so space and thematic consistency drove these chapters to the File Size: 1MB. the notion of homotopy, and homotopy groups?" {Mazur Why you might be interested in listening: Homotopy as a tool preceds homotopy as a concept Homotopy groups were very elusive Ushers in.

Vector Bundles and K-Theory. This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including .This book consists of notes for a second-year graduate course in advanced topology given by Professor Whitehead at M.I.T.

Presupposing a knowledge of the fundamental group and of algebraic topology as. The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra.

The text does reach advanced .