TY  - BOOK
AU  - Smith,Justin R.
TI  - Iterating the Cobar Construction
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401016
AV  - QA612.76 -- .S658 1994eb 
U1  - 514/.24 
PY  - 1994///
CY  - Providence
PB  - American Mathematical Society
KW  - Loop spaces
KW  - Cobar construction (Topology)
KW  - Tensor products
KW  - Electronic books
N1  - Intro -- Contents -- Abstract -- Chapter 1. Introduction -- Chapter 2. m-coalgebras -- 1. Preliminaries -- 2. Formal coalgebras -- 3. m-coalgebras -- 4. m-coalgebras and topological spaces -- Chapter 3. The bar and cobar constructions -- 1. A (∞)-coalgebras -- 2. The Cobar Construction -- 3. The Bar Construction -- 4. Geometricity of the m-structure on the cobar construction -- Chapter 4. Fibrations and twisted tensor products -- 1. The functors Y[sub(n),(m)](R) -- 2. Approximate m-structures on twisted tensor products -- 3. Geometricity of the m-structure on a twisted tensor product -- Appendices -- A. Proof of 2.17 (on page 17) -- B. A morphism from WX to B(X) -- C. Proof of 2.12 (on page 43) -- D. The maps {M[sub(n)]} -- E. The composition-operations of Y[sub(n),(m)](R)*{[sub(e)(u),]}F(R,n) -- F. Calculations -- Bibliography
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113801
ER  -