Geodesic
Completion as reflection
Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 3, pp. 541-568 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 18A40, 18B30, 54B17, 54B30, 54C20, 54D10, 54D35, 54E15, 54E17, 54E52 
@article{CMUC_1978_19_3_a9,
     author = {Bentley, H. L. and Herrlich, Horst},
     title = {Completion as reflection},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {541--568},
     year = {1978},
     volume = {19},
     number = {3},
     mrnumber = {508960},
     zbl = {0407.54020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a9/}
}
TY  - JOUR
AU  - Bentley, H. L.
AU  - Herrlich, Horst
TI  - Completion as reflection
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1978
SP  - 541
EP  - 568
VL  - 19
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a9/
LA  - en
ID  - CMUC_1978_19_3_a9
ER  - 
%0 Journal Article
%A Bentley, H. L.
%A Herrlich, Horst
%T Completion as reflection
%J Commentationes Mathematicae Universitatis Carolinae
%D 1978
%P 541-568
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a9/
%G en
%F CMUC_1978_19_3_a9
Bentley, H. L.; Herrlich, Horst. Completion as reflection. Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 3, pp. 541-568. http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a9/

[1] B. BANASCHEWSKI: On the Katětov and Stone-Čech extensions. Canad. Math. Bull. 2 (1959), 1-4. | MR | Zbl

[2] B. BANASCHEWSKI: Extensions of topological spaces. Canad. Math. Bull. 7 (1965), 1-22. | MR

[3] H. L. BENTLEY: Extensions of maps on nearness spaces. preprint.

[4] H. L. BENTLEY H. HERRLICH: Extensions of topological spaces. in: Topology: Proc. Memphis State Univ. Conf. edited by S. P. Franklin and B. V. Smith Thomas (Marcel Dekker, New York, 1976), 129-184. | MR

[5] H. L. BENTLEY S. A. NAIMPALLY: Wallman $T_1$-compactification as epireflections. Gen. Top. Appl. 4 (1974), 29-41. | MR

[6] J. W. CARLSON: $B$-completeness in nearness spaces. Gen. Top. Appl. 5 (1975), 263-268. | MR | Zbl

[7] J. W. CARLSON: An ultrafilter completion for a nearness space. preprint. | MR

[8] J. W. CARLSON: $H$-closed and countably compact extensions. preprint. | MR | Zbl

[9] J. FLACHSMEYER: Zur Theorie der $H$-abgeschlossenen Erweiterungen. Math. Z. 94 (1966), 349-381. | MR | Zbl

[10] S. FOMIN: Extensions of topological spaces. Ann. of Math. 44 (1943), 471-480. | MR | Zbl

[11] D. HARRIS: Katětov extension as a functor. Math. Ann. 193 (1971), 171-1*5. | MR

[12] D. HARRIS: The Wallman compactification as a functor. Gen. Top. Appl. 1 (1971), 273-281. | MR | Zbl

[13] N. C. HELDERMANN: Hülllenbildung in Nearness-Kategorien. Thesis, Freie Universität Berlin, 1977.

[14] N. C. HELDERMANN: On Hausdorff nearness spaces. preprint. | MR

[15] H. HEHRLICH: Topologische Reflexionen und Coreflexiomn. Lect. Notes in Math. 78, Springer-Verlag, Berlin 1968.

[16] H. HERRLECH: A concept of nearness. Gen. Top. Appl. 4 (1974), 191-212. | MR

[17] H. HERRLICH: Topological structures. Math. Centre Tracts 52, Amsterdam (1974), 59-122. | MR | Zbl

[18] H. HERRLICH G. STRECKER: $H$-closed spaces and reflective subcategories. Math. Ann. 177 (1968), 302-309. | MR

[19] W. HUNSAKER S. A. NAIMPALLY: Extensions of continuous functions; reflective functors. preprint. | MR

[20] M. KATĚTOV: Über $H$-abgeschlossene und bikompakte Räume. Časopis Pěst. Mat. 69 (1940), 36-49. | MR

[21] M. KATĚTOV: On continuity structures and spaces of mappings. Comment. Math. Univ. Carolinae 6 (1965), 257-278. | MR

[22] J. MIODUSZEWSKI L. RUDOLF: $H$-closed and extremally disconnected Hausdorff spaces. Rozprawy Mat. 66 (1969), 1-52. | MR

[23] K. MORITA: On the simple extension of a space with respect to a uniformity, I-IV. Proc. Japan Acad. 27 (1951), 65-72, 130-137, 166-171, 632-636. | MR

[24] J. PORTER: Extension function and subcategories of Haus. Canad. Math. Bull. 18 (1975), 587-590. | MR | Zbl

[25] J. PORTER J. THOMAS: On $H$-closed and minimal Hausdorff spaces. Trans. Am. Math. Soc. 138 (1969), 159-170. | MR

[26] J. PORTER C. VOTAW: $H$-closed extensions I. Gen. Top. Appl. 3 (1973), 211-224. | MR

[27] J. PORTER C. VOTAW: $H$-closed extensions II. preprint. | MR

[28] E. F. STEINER: Wallman spaces and compactifications. Fund. Math. 61 (1968), 295-304. | MR | Zbl

[29] A. K. STEINER E. F. STEINER: On semi-uniformities. Fund. Math. 83 (1973), 47-58. | MR