Papers by Sjoerd E. Crans

Theses

  1. Some covering theorems for locales, Doctorandus thesis (approx Master's thesis), 1990, 43 pp.
  2. ``On combinatorial models for higher dimensional homotopies'', Ph.D. thesis, 1995, xxii+163+XV pp.
  3. Sur les structures catégoriques supérieures et les tressages, Habilitation à diriger des recherches, 2002, ii+31 pp.

Academic publications

  1. Quillen closed model structures for sheaves, J. Pure Appl. Algebra 101 (1995), 35-57,
    also Chapter 1 of my Ph.D. thesis
  2. Presentations of omega-categories by directed complexes (with Richard Steiner), J. Austral. Math. Soc. (Series A) 63 (1997), 47-77
  3. Generalized centers of braided and sylleptic monoidal 2-categories, Adv. Math. 136 (1998), 183-223
  4. A tensor product for Gray-categories, Theory Appl. Categ. 5 (1999), 12-69
  5. On braidings, syllepses, and symmetries, Cahiers Topologie Géom. Différentielle Catég. XLI (2000), 2-74
  6. Localizations of transfors, K-theory 28 (2003), 39-105
  7. Higher-dimensional Mac Lane's pentagon and Zamolodchikov equations, J. Pure Appl. Algebra 168 (2002), 347-365
  8. Teisi in Ab, Homology Homotopy Appl. 3 (2001), 87-100
  9. The shuffle pasting, J. Algebraic Combin. 19 (2004), 223-256

Preprints

  1. Completeness theorems via the theory of locales, 1999, 17 pp.

Other output

  1. Central observations on omega-teisi, incomplete typescript, 1997, vii+104+IV pp.
  2. An introduction to teisi, with implications for braidings, (slides of a) talk at the Macquarie Mathematics Colloquium, Sydney, 1998, i+18 pp.
  3. Zamolodchikov systems, (abstract of a) talk at the International Category Theory Conference, Como, 2000, 10 pp.
  4. Weak n-categories are an environment for non-abelian homological algebra, (abstract of a) talk at the Seminari de Topologica, Barcelona, 2001, 5 pp.
  5. L'incontournabilité des teisi, (abstract of a) talk at the Séminaire Itinérant de Catégories, Amiens, 2001, 5 pp.

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Sjoerd E. Crans
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last updated: 27 February 2004

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