Smith, Justin R. <br/><br/>
Iterating the Cobar Construction. 

 - 1st ed. 
 - 1 online resource (154 pages) 
 - Memoirs of the American Mathematical Society ;  v.109 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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  -- E. The composition-operations of Y[sub(n),(m)](R)*F(R,n) -- F. Calculations -- Bibliography. 
<br/><br/><label>ISBN: </label>9781470401016 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Loop spaces.<br/>Cobar construction (Topology).<br/>Tensor products.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA612.76 -- .S658 1994eb 
<br/><br/><label>Dewey Class. No.: </label>514/.24