Iterating the cobar construction. Memoirs of the American Mathematical Society; 524.

Smith, Justin R.

ISBN 10: 0821825887 / ISBN 13: 9780821825884

Verlag: Providence, American Mathematical Society, 1994

Beschreibung

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00797 9780821825884 Sprache: Englisch Gewicht in Gramm: 150.

Bestandsnummer des Verkäufers 2484635

Bibliografische Details

• Titel: Iterating the cobar construction. Memoirs of the American Mathematical Society; 524.
• Verlag: Providence, American Mathematical Society
• Erscheinungsjahr: 1994
• Sprache: Englisch
• ISBN-10: 0821825887
• ISBN-13: 9780821825884
• Einband: Softcover
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

Book by Smith Justin R

Reseña del editor

This book develops a new topological invariant called the m-structure, which incorporates all information contained in the canonical coproduct and the Steenrod operations. Given a chain complex equipped with an m-structure, Smith shows that its cobar construction also has a natural m-structure. This derived m-structure of the cobar construction corresponds to the m-structure of the loop space of the original space under the map that carries the cobar construction to the loop space. This result allows one to form iterated cobar constructions which Smith shows are homotopy equivalent to iterated loop spaces. These results are applied to the computation of the cohomology algebra structure of total spaces of fibrations.