Operads and cosimplicial objects : an introduction

  title={Operads and cosimplicial objects : an introduction},
  author={James E. McClure and Jeffrey H. Smith},
This paper is an introduction to the series of papers [26, 28, 29, 30], in which we develop a combinatorial theory of certain important operads and their actions. The operads we consider are A∞ operads, E∞ operads, the little n-cubes operad and the framed little disks operad. Sections 2, 6 and 9, which can be read independently, are an introduction to the theory of operads. The reader is also referred to the very interesting papers of Batanin ([3, 4]), which treat similar questions from a… CONTINUE READING
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