A note on topological $\textrm {hom}$-functors
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- by J. M. Harvey
- Proc. Amer. Math. Soc. 85 (1982), 517-519
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660594-7
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Abstract:
This note establishes internal criteria on a category $C$ and a separator $\Sigma$ in $C$ which characterize the condition that the $\Sigma$-induced covariant hom-functor ${h_\Sigma }:C \to$ Set is (epi, mono-source)-topological.References
- J. Martin Harvey, Topological functors from factorization, Categorical topology (Proc. Internat. Conf., Free Univ. Berlin, Berlin, 1978) Lecture Notes in Math., vol. 719, Springer, Berlin, 1979, pp. 102–111. MR 544636
- Horst Herrlich, Topological functors, General Topology and Appl. 4 (1974), 125–142. MR 343226, DOI 10.1016/0016-660X(74)90016-6
- Horst Herrlich and George E. Strecker, Category theory, 2nd ed., Sigma Series in Pure Mathematics, vol. 1, Heldermann Verlag, Berlin, 1979. An introduction. MR 571016
- Rudolf E. Hoffmann, Topological functors and factorizations, Arch. Math. (Basel) 26 (1975), 1–7. MR 428255, DOI 10.1007/BF01229694
Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 517-519
- MSC: Primary 18A22; Secondary 54B30
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660594-7
- MathSciNet review: 660594