£60.95

$S$-Modules in the Category of Schemes (Memoirs of the American Mathematical Society)

Geometry & Topology

Price data last checked 22 day(s) ago - will refresh soon

View at Amazon

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

It has never been this cheap. We have no record of a lower price.

£61 today · cheaper than every other day in the last 3 months

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 69 days · 69 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 69 days • 1 price levels

Days at Price

Price Analysis

Most common price: £61 (69 days, 100.0%)

Price range: £61 - £61

Price levels: 1 different prices over 69 days

Description

This paper gives a theory $S$-modules for Morel and Voevodsky's category of algebraic spectra over an arbitrary field $k$. This is a 'point-set' category of spectra which are commutative, associative and unital with respect to the smash product. In particular, $E{\infty}$-ring spectra are commutative monoids in this category. Our approach is similar to that of 7. We start by constructing a category of coordinate-free algebraic spectra, which are indexed on an universe, which is an infinite-dimensional affine space. One issue which arises here, different from the topological case, is that the universe does not come with an inner product. We overcome this difficulty by defining algebraic spectra to be indexed on the subspaces of the universe with finite codimensions instead of finite dimensions, and show that this is equivalent to spectra indexed on the integers.Using the linear injections operad, we also define universe change functors, as well as other important constructions analogous to those in topology, such as the twisted half-smash product. Based on this category of coordinate-free algebraic spectra, we define the category of $S$-modules. In the homotopical part of the paper, we give closed model structures to these categories of algebraic spectra, and show that the resulting homotopy categories are equivalent to Morel and Voevodsky's algebraic stable homotopy category.

Product Specifications

Format: hardcover
ASIN: 0821829564
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 27 March 2003
Listed Since: 17 December 2006

Barcode

No barcode data available

$S$-Modules in the Category of Schemes (Memoirs of the American Mathematical Society)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology (Memoirs of the American Mathematical Society)

Rings and Categories of Modules: 13 (Graduate Texts in Mathematics, 13)

Structured Ring Spectra: 315 (London Mathematical Society Lecture Note Series, Series Number 315)

Categories and Modules with K-Theory in View: 67 (Cambridge Studies in Advanced Mathematics, Series Number 67)

Mal'cev, Protomodular, Homological and Semi-Abelian Categories: 566 (Mathematics and Its Applications, 566)

Triangulated Categories of Mixed Motives (Springer Monographs in Mathematics)

Algebra: Rings, Modules and Categories I: 190 (Grundlehren der mathematischen Wissenschaften, 190)

Moufang Sets and Structurable Division Algebras (Memoirs of the American Mathematical Society)

Approximations and Endomorphism Algebras of Modules (de Gruyter Expositions in Mathematics): Volume 1 – Approximations / Volume 2 – Predictions: 41

Multiplication Objects in Monoidal Categories

Models for Smooth Infinitesimal Analysis

Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory: 97 (Encyclopedia of Mathematics and its Applications, Series Number 97)

Semilocal Categories and Modules with Semilocal Endomorphism Rings: 331 (Progress in Mathematics, 331)

Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings (Cambridge Tracts in Mathematics): 161 (Cambridge Tracts in Mathematics, Series Number 161)

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

Non-Abelian Homological Algebra and Its Applications: 421 (Mathematics and Its Applications, 421)

Non-Abelian Homological Algebra and Its Applications: 421 (Mathematics and Its Applications, 421)

Periodic Hamiltonian Flows on Four Dimensional Manifolds (Memoirs of the AMS) (Memoirs of the American Mathematical Society)

Topological Persistence in Geometry and Analysis (University Lecture Series)

Completion, Čech and Local Homology and Cohomology: Interactions Between Them (Springer Monographs in Mathematics)

Algebraic Cobordism (Springer Monographs in Mathematics)

Introduction to Homotopy Theory (Fields Institute Monographs)

Representations of Hecke Algebras at Roots of Unity: 15 (Algebra and Applications, 15)

Algebraic Methods in Unstable Homotopy Theory: 12 (New Mathematical Monographs, Series Number 12)