£89.26

Model Categories and Their Localizations (Mathematical Surveys and Monographs)

Science, Nature & Maths

Price data last checked 23 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

About as cheap as it gets. The only time it was cheaper was 3 months ago.

£89 today · all-time low £89 (Jun 2026) · usually £89

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 68 days · 68 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 68 days • 1 price levels

Days at Price

Price Analysis

Most common price: £89 (68 days, 100.0%)

Price range: £89 - £89

Price levels: 1 different prices over 68 days

Description

The aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new category in which the weak equivalences are isomorphisms. Quillen defined a model category to be a category together with a class of weak equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make constructions analogous to those used to study the homotopy theory of topological spaces. A model category has a class of maps called weak equivalences plus two other classes of maps, called cofibrations and fibrations. Quillen's axioms ensure that the homotopy category exists and that the cofibrations and fibrations have extension and lifting properties similar to those of cofibration and fibration maps of topological spaces. During the past several decades the language of model categories has become standard in many areas of algebraic topology, and it is increasingly being used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry. All these subjects and more are discussed in the book, beginning with the basic definitions and giving complete arguments in order to make the motivations and proofs accessible to the novice. The book is intended for graduate students and research mathematicians working in homotopy theory and related areas.

Product Specifications

Format: paperback
ASIN: 0821849174
Category: Books > Subjects > Science, Nature & Maths
Domain: Amazon UK
Release Date: 24 August 2009
Listed Since: 14 June 2010

Barcode

No barcode data available

Model Categories and Their Localizations (Mathematical Surveys and Monographs)

About as cheap as it gets. The only time it was cheaper was 3 months ago.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Homological Algebra: In Strongly Non-Abelian Settings

Model Categories (Mathematical Surveys and Monographs)

Modern Classical Homotopy Theory (Graduate Studies in Mathematics)

Local Homotopy Theory (Springer Monographs in Mathematics)

Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics): 180 (Cambridge Studies in Advanced Mathematics, Series Number 180)

Lecture Notes in Algebraic Topology (Graduate Studies in Mathematics)

A Handbook of Model Categories: 27 (Algebra and Applications, 27)

A Handbook of Model Categories: 27 (Algebra and Applications, 27)

Parametrized Homotopy Theory (Mathematical Surveys & Monographs)

The Local Structure of Algebraic K-Theory: 18 (Algebra and Applications, 18)

A User’s Guide to Algebraic Topology: 387 (Mathematics and Its Applications, 387)

Algebraic Homotopy: 15 (Cambridge Studies in Advanced Mathematics, Series Number 15)

Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128) (Annals of Mathematics Studies, 128)

Topology and K-Theory: Lectures by Daniel Quillen: 2262 (Lecture Notes in Mathematics, 2262)

Abelian Model Category Theory: 215 (Cambridge Studies in Advanced Mathematics, Series Number 215)

The Homotopy Theory of (,1)-Categories: 90 (London Mathematical Society Student Texts, Series Number 90)

K-Theory: An Introduction (Classics in Mathematics)

Elements of Homotopy Theory: 61 (Graduate Texts in Mathematics, 61)

Basic Algebraic Topology

Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories: 26 (Algebra and Applications, 26)

From Categories to Homotopy Theory (Cambridge Studies in Advanced Mathematics): 188 (Cambridge Studies in Advanced Mathematics, Series Number 188)

An Illustrated Introduction to Topology and Homotopy

Cubical Homotopy Theory: Series Number 25 (New Mathematical Monographs, Series Number 25)

Categorical Homotopy Theory (New Mathematical Monographs): 24 (New Mathematical Monographs, Series Number 24)