Dissertation/Thesis Abstract

On the E2 structure of cochains
by Young, Justin, Ph.D., Indiana University, 2012, 87; 3522671
Abstract (Summary)

Let R be a ring containing 1/m for m < p. Let A be an E3 algebra over R concentrated in the degree range r + 1 ≤ n rpp + 1. Then, as an E 2 algebra, A is equivalent to a commutative algebra. As a consequence, if X is an r connected, rpp + 1 dimensional, finite simplicial set, then S*(X, R), the singular cochain complex over the ring R, is equivalent as an E2 algebra to a commutative algebra.

Indexing (document details)
Advisor: Mandell, Michael A.
Commitee: Davis, James F., Lindenstrauss, Ayelet, Strauch, Matthias
School: Indiana University
Department: Mathematics
School Location: United States -- Indiana
Source: DAI-B 74/02(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Algebraic topology, Cochains, Homotopy, Operad
Publication Number: 3522671
ISBN: 978-1-267-54950-1
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