Book Review
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MathSciNet review: 1567351
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Book Information:
Authors: Ales Pultr and Věra Trnková
Title: Combinatorial algebraic and topological representations of groups, semigroups and categories
Additional book information: North-Holland Mathematical Library, Amsterdam, 1980, vi + 372 pp., $48.75.
- H. Cook, Upper semi-continuous continuum-valued mappings onto circle-like continua, Fund. Math. 60 (1967), 233–239. MR 220255, DOI https://doi.org/10.4064/fm-60-3-233-239
- H. Cook, Continua which admit only the identity mapping onto non-degenerate subcontinua, Fund. Math. 60 (1967), 241–249. MR 220249, DOI https://doi.org/10.4064/fm-60-3-241-249
- E. Fried and J. Sichler, Homomorphisms of integral domains of characteristic zero, Trans. Amer. Math. Soc. 225 (1977), 163–182. MR 422382, DOI https://doi.org/10.1090/S0002-9947-1977-0422382-9
- R. Frucht, Herstellung von Graphen mit vorgegebener abstrakter Gruppe, Compositio Math. 6 (1939), 239–250 (German). MR 1557026
- J. de Groot, Groups represented by homeomorphism groups, Math. Ann. 138 (1959), 80–102. MR 119193, DOI https://doi.org/10.1007/BF01369667
- Z. Hedrlin, Extensions of structrures and full embeddings of categories, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 319–322. MR 0419554
- Zdeněk Hedrlín and Joachim Lambek, How comprehensive is the category of semigroups?, J. Algebra 11 (1969), 195–212. MR 237611, DOI https://doi.org/10.1016/0021-8693%2869%2990054-4
- Z. Hedrlín and A. Pultr, On full embeddings of categories of algebras, Illinois J. Math. 10 (1966), 392–406. MR 191858
- J. R. Isbell, Subjects, adequacy, completeness and categories of algebras. [Subobjects, adequacy, completeness and categories of algebras], Rozprawy Mat. 36 (1964), 33. MR 163939
- A. Pultr and V. Trnková, Strong embeddings into categories of algebras, Illinois J. Math. 16 (1972), 183–195. MR 297672
- Gert Sabidussi, Graphs with given infinite group, Monatsh. Math. 64 (1960), 64–67. MR 115935, DOI https://doi.org/10.1007/BF01319053
Review Information:
Reviewer: John Isbell
Journal: Bull. Amer. Math. Soc. 6 (1982), 118-120
DOI: https://doi.org/10.1090/S0273-0979-1982-14986-2