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Topological categories containing any category of algebras. (English) Zbl 0378.18004


MSC:

18B15 Embedding theorems, universal categories
06A06 Partial orders, general
18B99 Special categories
05C20 Directed graphs (digraphs), tournaments
18E20 Categorical embedding theorems
54A99 Generalities in topology
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References:

[1] H. Cook: Continua which admit only the identity mapping onto non-degenerate subcontinua. Fund. Math. 60 (1967), 241-249. · Zbl 0158.41503
[2] J. de Groot: Groups represented by homeomorphisms groups I. Math. Annalen 138 (1959), 80-102. · Zbl 0087.37802 · doi:10.1007/BF01369667
[3] Z. Hedrlín: Extensions of structures and full embeddings of categories. Actes. Congrès inernat. mat. 1970, Tome 1, 319-322.
[4] Z. Hedrlín J. Lambek: How comprehensive is the category of semigroups?. J. Algebra 11 (1969), 195-212. · Zbl 0206.02505 · doi:10.1016/0021-8693(69)90054-4
[5] Z. Hedrlín A. Pultr: On full embeddings of categories of algebras. Illinois J. Math. 10 (1966), 392-406. · Zbl 0139.01501
[6] Z. Hedrlín A. Pultr: Remark on topological spaces with given semigroups. Comment. Math. Univ. Carolinae 7 (1966), 377-400. · Zbl 0151.30904
[7] Z. Hedrlín A. Pultr V. Trnková: Concerning a categorial approach to topological and algebraic theories. General Topology and its Relations to Modern Analysis and Algebra, II. (Proc. Second Prague Topological Symp., 1966). Academia, Prague, 1967, 176-181.
[8] L. Kučera: Lectures from the theory of categories. Charles University, Prague
[9] A. B. Paalman de Miranda: Topological representation of semigroups. General Topology and its Relations to Modern Analysis and Algebra, II. (Proc. Second Prague Topological Symp., 1966). Academia, Prague, 1967, 276-282.
[10] A. Pultr: Concerning universal categories. Comment. Math. Univ. Carolinae 5 (1964), 227-239. · Zbl 0135.02101
[11] V. Trnková: Non-constant continuous mappings of metric or compact Hausdorff spaces. Comment. Math. Univ. Carolinae 13 (1972), 283-295. · Zbl 0245.54040
[12] V. Trnková J. Reiterman: Categories of presheaves containing any category of algebras. Dissertationes Mathematicae 124 (1975), 1 - 58. · Zbl 0321.18001
[13] V. Trnková J. Reiterman: When categories of presheaves are binding. General Topology and its Relation to Modern Analysis and Algebra, III. (Proc. Third Prague Topological Symp., 1971). Academia, Prague, 1972, 447-450.
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