Complicial Sets Characterising the Simplicial Nerves of Strict Omega-Categories (Memoirs of the American Mathematical Society)

Complicial Sets Characterising the Simplicial Nerves of Strict Omega-Categories (Memoirs of the American Mathematical Society)

By: Dominic Verity (author)Paperback

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Description

The primary purpose of this work is to characterise strict $\omega$-categories as simplicial sets with structure. The author proves the Street-Roberts conjecture in the form formulated by Ross Street in his work on Orientals, which states that they are exactly the ""complicial sets"" defined and named by John Roberts in his handwritten notes of that title (circa 1978).

Contents

Simplicial operators and simplicial sets A little categorical background Double categories, 2-categories and $n$-categories An introduction to the decalage construction Stratifications and filterings of simplicial sets Pre-complicial sets Complicial sets The path category construction Complicial decalage constructions Street's $\omega$-categorical nerve construction Bibliography.

Product Details

  • ISBN13: 9780821841426
  • Format: Paperback
  • Number Of Pages: 184
  • ID: 9780821841426
  • ISBN10: 0821841424

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