Because the paintings of Stasheff and Sugawara within the Sixties on acceptance of loop area buildings on $H$-spaces, the proposal of upper homotopies has grown to be a basic organizing precept in homotopy idea, differential graded homological algebra or even mathematical physics. This ebook offers the complaints from a convention hung on the celebration of Stasheff's sixtieth birthday at Vassar in June 1996. It bargains a set of very prime quality papers and comprises a few basic essays on themes that open new components. it is beneficial properties contain: available to a wide viewers drawn to arithmetic and physics; bargains a finished review of Stasheff's paintings; and, comprises papers on very present learn issues, together with operads, combinatorial polyhedra and moduli areas.
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