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Title of Journal: Appl Categor Struct

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Abbravation: Applied Categorical Structures

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Springer Netherlands

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DOI

10.1007/bf00436163

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1572-9095

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Absolute Lax 2categories

Authors: Marco Grandis
Publish Date: 2006/07/19
Volume: 14, Issue: 3, Pages: 191-214
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Abstract

We have introduced in a previous paper the fundamental lax 2category of a ‘directed space’ X Here we show that when X has a T 1topology this structure can be embedded into a larger one with the same objects the points of X the same arrows the directed paths and the same cells based on directed homotopies of paths but a larger system of comparison cells The new comparison cells are absolute in the sense that they only depend on the arrows themselves rather than on their syntactic expression as in the usual settings of lax or weak structures It follows that in the original structure all the diagrams of comparison cells commute even if not constructed in a natural way and even if the composed cells need not stay within the old system

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Other Papers In This Journal:
  1. On the Notion of a Semi-Abelian Category in the Sense of Palamodov
  2. Complexity Analysis via Approach Spaces
  3. Axioms for Sequential Convergence
  4. A Categorical Foundation for Bayesian Probability
  5. Quasi Left Factorization Structures as Presheaves
  6. Auslander–Buchweitz Context and Co- t -structures
  7. Homotopy Gerstenhaber Structures and Vertex Algebras
  8. Perfect MV -algebras and their Logic
  9. Insertion of Continuous Real Functions on Spaces, Bispaces, Ordered Spaces and Pointfree Spaces—A Common Root
  10. A Generalization of De Vries Duality Theorem
  11. Bounded Equivalence of Hull Classes in Archimedean Lattice-Ordered Groups with Unit
  12. Normal Subgroups of B u Aut(Ω)
  13. Lawvere Completeness in Topology
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