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  • sketch  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Morita Equivalence of Sketches (2000)
    Springer
    Applied categorical structures 8 (2000), S. 503-517 
    Details
    ISSN: 1572-9095
    Keywords: Morita equivalence ; sketch
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Equivalence of sketches S and T means the equivalence of their categories ModS and ModT of all Set-valued models. E. Vitale and the second author have characterized equivalence of limit-sketches by means of bimodels, where a bimodel for limit sketches S and T is a model of S in the category ModT. For general sketches, we show that an analogous result holds provided that ModT is substituted by a more complex category; e.g., in case of limit-coproduct sketches, that category is ∏(ModT), the free product completion of ModT.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008735511095
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  • 2
    Electronic Resource
    Electronic Resource
    On geometric and finitary sketches (1996)
    Springer
    Applied categorical structures 4 (1996), S. 227-240 
    Details
    ISSN: 1572-9095
    Keywords: 18B99 ; sketch ; accessible category ; model ; infinitary logic
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A survey of results on categories which can be sketched by a finitary sketch (i.e., a sketch with finite limit and finite colimit specifications) or by a geometric sketch (i.e., a sketch with finite limit specifications and arbitrary colimit specifications) is presented. Transitive-hull theories are introduced which precisely characterize finitarily sketchable categories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00122254
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