Iterating the cobar construction
著者
書誌事項
Iterating the cobar construction
（Memoirs of the American Mathematical Society, no. 524）
American Mathematical Society, 1994
大学図書館所蔵 件 / 全18件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"May 1994, volume 109, number 524 (fourth of 5 numbers)" -- T.p
Includes bibliographical references (p. 137-138)
内容説明・目次
内容説明
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.
「Nielsen BookData」 より
