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Onm-separated projection spaces

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Abstract

Closure operators in the category of projection spaces are investigated. It is shown that completeness, absolutes-closure ands-injectivity coincide in the subcategory of separated projection spaces and that there compactness with respect to projections implies completeness.

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References

  1. G. C. L. Brümmer, E. Giuli, and H. Herrlich: Epireflections which are completions,Cahiers Topologie Géom. Différentielle Catégoriques 33 (1992), 71–93.

    Google Scholar 

  2. D. Dikranjan and E. Giuli: Closure operators I,Topology Appl. 27 (1987), 129–143.

    Google Scholar 

  3. D. Dikranjan and E. Giuli: Preradicals, factorizations and compactness in categories of modules, preprint, L'Aquila, 1990.

  4. D. Dikranjan, E. Giuli, and W. Tholen: Closure operators II, inCategorical Topology and Its Relation to Analysis, Algebra and Combinatorics, Prague, 1988 (World Sci. Publ., New York, 1989), 297–335.

    Google Scholar 

  5. C. Dimitrovici, H. Ehrig, M. Große-Rode, and C. Rieckhoff: Projektionsräume und Projektionsalgebren: Eine Algebraisierung von ultrametrischen Räumen, Technical Report 87-7, TU Berlin, 1987.

  6. H. Ehrig, F. Parisi-Presicce, P. Boehm, C. Rieckhoff, D. Dimitrovici, and M. Große-Rode: Algebraic data type and process specification based on projection spaces, Technical Report 87-8, TU Berlin, 1987.

  7. E. Giuli, S. Mantovani, and W. Tholen: Objects with closed diagonals,J. Pure Appl. Algebra 51 (1988), 129–140.

    Google Scholar 

  8. M. Große-Rode and D. Dimitrovici: Algebraic specification of action trees and recursive processes, in M. Nivat and A. Podelski (eds.),Tree Automata and Languages (Elsevier Science Publishers 1992), 235–290.

  9. H. Herrlich and H. Ehrig: The construct PRO of projection spaces: its internal structure, in:Categorical Methods in Computer Science, Lecture Notes in Computer Science 393, Springer-Verlag, Berlin, 286–293.

  10. H. Herrlich and G. E. Strecker:Category Theory 2o edition, Heldermann-Verlag, Berlin, 1979.

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica Pura ed Applicata, Università degli Studi, 67100, L'Aquila, Italy

    Eraldo Giuli

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  1. Eraldo Giuli
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Dedicated to Nico Pumplün on the occasion of his 60th birthday

Partial financial support by the Italian Ministry of Public Education is gratefully acknowledged.

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Giuli, E. Onm-separated projection spaces. Appl Categor Struct 2, 91–99 (1994). https://doi.org/10.1007/BF00878505

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  • DOI: https://doi.org/10.1007/BF00878505

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