nLab Walter Tholen

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Selected writings

On the lexicographic order:

• Reinhard Börger, Walter Tholen, Anna Tozzi: Lexicographic sums and fibre-faithful maps, Applied Categorical Structures 1 (1993) 59-83 [doi:10.1007/BF00872986]

On (monadic) descent:

• George Janelidze, Walter Tholen, Facets of descent I, Applied Categorical Structures 2 3 (1994) 245-281 [doi:10.1007/BF00878100]

• George Janelidze, Walter Tholen, Facets of descent II, Applied Categorical Structures 5 3 (1997) 229-248 [doi:10.1023/A:1008697013769]

On free coproduct completions:

• Hongde Hu, Walter Tholen, Limits in free coproduct completions, Journal of Pure and Applied Algebra 105 (1995) 277-291 (doi:10.1016/0022-4049(94)00153-7, pdf)

On a generalization of coproducts to colimits over certain diagrams of the shape of skeletal groupoids:

• Hongde Hu, Walter Tholen, Quasi-coproducts and accessible categories with wide pullbacks, Appl Categor Struct 4 (1996) 387–402 [doi:10.1007/BF00122686]

See also:

• Reinhard Börger, Walter Tholen, Strong regular and dense generators, Cahiers de Topologie et Géométrie Différentielle Catégoriques 32 3 (1991) 257-276 [numdam:CTGDC_1991__32_3_257_0, MR1158111]

On (co-)reflective factorization systems:

• Jiri Rosicky, Walter Tholen, Factorization, Fibration and Torsion, Journal of Homotopy and Related Structures, 2 2 (2007) 295-314 [arXiv:0801.0063, publisher]

Presenting a pretorsion theory on Cat whose torsion(-free) objects are the groupoids (skeletal categories, respectively), hence whose “trivial objects” are the skeletal groupoids:

• Francis Borceux, Federico Campanini, Marino Gran, Walter Tholen, Groupoids and skeletal categories form a pretorsion theory in $Cat$ [arXiv:2207.08487]

Related entries

• duality

• Gelfand duality

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