Isbn: 9780821843031 - rings, modules, and algebras in stable homotopy theory (mathematical surveys and monographs) (10 resultados)

Condición: New. Introduces a fresh point-set level approach to stable homotopy theory that has had many applications and promises to have a lasting impact on the subject. Given the sphere spectrum $S$, this title constructs a smash product in a complete category of '$S$-modules' whose derived category is equivalent to the classical stable homotopy category. Series: Mathematical Surveys and Monographs. Num Pages: 249 pages. BIC Classification: PBG; PBPD. Category: (P) Professional & Vocational. Weight in Grams: 476. . 2007. Paperback. . . . .…

Condición: New.

Paperback. Condición: New. This book introduces a new point-set level approach to stable homotopy theory that has already had many applications and promises to have a lasting impact on the subject. Given the sphere spectrum $S$, the authors construct an associative, commutative, and unital smash product in a complete and cocomplete category of ""$S$-modules"" whose derived category is equivalent to the classical stable homotopy category. This construction allows for a simple and algebraically manageable definition of ""$S$-algebras"" and ""commutative $S$-algebras"" in terms of associative, or associative and commutative, products $R\wedge SR \longrightarrow R$. These notions are essentially equivalent to the earlier notions of $A {\infty $ and $E {\infty $ ring spectra, and the older notions feed naturally into the new framework to provide plentiful examples. There is an equally simple definition of $R$-modules in terms of maps $R\wedge SM\longrightarrow M$. When $R$ is commutative, the category of $R$-modules also has a.…

Paperback. Condición: Brand New. 249 pages. 9.84x7.01x0.55 inches. In Stock.

Condición: As New. Unread book in perfect condition.

Condición: New.

Condición: New. Introduces a fresh point-set level approach to stable homotopy theory that has had many applications and promises to have a lasting impact on the subject. Given the sphere spectrum $S$, this title constructs a smash product in a complete category of '$S$-modules' whose derived category is equivalent to the classical stable homotopy category. Series: Mathematical Surveys and Monographs. Num Pages: 249 pages. BIC Classification: PBG; PBPD. Category: (P) Professional & Vocational. Weight in Grams: 476. . 2007. Paperback. . . . . Books ship from the US and Ireland.…

Condición: As New. Unread book in perfect condition.

Condición: New. In English.

Paperback. Condición: New. This book introduces a new point-set level approach to stable homotopy theory that has already had many applications and promises to have a lasting impact on the subject. Given the sphere spectrum $S$, the authors construct an associative, commutative, and unital smash product in a complete and cocomplete category of ""$S$-modules"" whose derived category is equivalent to the classical stable homotopy category. This construction allows for a simple and algebraically manageable definition of ""$S$-algebras"" and ""commutative $S$-algebras"" in terms of associative, or associative and commutative, products $R\wedge SR \longrightarrow R$. These notions are essentially equivalent to the earlier notions of $A {\infty $ and $E {\infty $ ring spectra, and the older notions feed naturally into the new framework to provide plentiful examples. There is an equally simple definition of $R$-modules in terms of maps $R\wedge SM\longrightarrow M$. When $R$ is commutative, the category of $R$-modules also has a.…