Topology of B -metric spaces

David Ellis; H. D. Sprinkle

Compositio Mathematica (1954-1956)

  • Volume: 12, page 250-262
  • ISSN: 0010-437X

How to cite

top

Ellis, David, and Sprinkle, H. D.. "Topology of $B$-metric spaces." Compositio Mathematica 12 (1954-1956): 250-262. <http://eudml.org/doc/88817>.

@article{Ellis1954-1956,
author = {Ellis, David, Sprinkle, H. D.},
journal = {Compositio Mathematica},
keywords = {Topology},
language = {eng},
pages = {250-262},
publisher = {Kraus Reprint},
title = {Topology of $B$-metric spaces},
url = {http://eudml.org/doc/88817},
volume = {12},
year = {1954-1956},
}

TY - JOUR
AU - Ellis, David
AU - Sprinkle, H. D.
TI - Topology of $B$-metric spaces
JO - Compositio Mathematica
PY - 1954-1956
PB - Kraus Reprint
VL - 12
SP - 250
EP - 262
LA - eng
KW - Topology
UR - http://eudml.org/doc/88817
ER -

References

top
  1. Antoine Appert [1] Espaces uniformes généralisés, C. R. (Paris), Vol. 222 (1946), pp. 986-988. Zbl0060.39702MR15770
  2. [2] Ecart partiellement ordonné et uniformité, C. R. (Paris), Vol. 224 (1947), pp. 442—444. Zbl0029.04802
  3. Garrett Birkhoff [3] Lattice Theory, Am. Math. Soc. Colloquium Publications, New York, 1948. MR29876
  4. [4] On the structure of abstract algebras, Proc. Camb. Phil. Soc., Vol. 31 (1935), pp. 433—454. Zbl0013.00105JFM61.1026.07
  5. Leonard M. Blumenthal [5] Boolean Geometry I, National Bureau of Standards, 1952. MR57558
  6. L.W. Cohen and Caspar Goffman [6] On the metrization of uniform space, Proc. Am. Math. Soc., Vol. 1, (1950), pp. 750—753. Zbl0040.25601
  7. J. Colmez [7] Sur divers problèmes concernant les espaces topologiques, Port. Math., Vol .6 (1947), pp. 119—244. Zbl0034.21704
  8. Raouf Doss [8] Sur la condition de régularité pour l'écart abstrait, C. R. (Paris), Vol. 223 (1946), pp. 14—16. Zbl0060.39616
  9. [9] Sur les espaces ou la topologie peut être définie à l'aide d'un écart abstrait symétrique et régulier, C. R. (Paris), Vol. 223 (1946), pp. 1087—1088. Zbl0060.39701
  10. David Ellis [10] Autometrized boolean algebras I, Canadian Journ. of Math., Vol. 3 (1951), pp. 87-93. Zbl0042.02706MR44140
  11. [11] Autometrized boolean algebras II, Canadian Journ. of Math., Vol. 3 (1951) pp. 145—147. Zbl0043.03401
  12. [12] Geometry in abstract distance spaces, Publicationes Mathematicae, Vol. 2 (1950), pp. 1-25. Zbl0042.41302MR43484
  13. [13] Lattice theory problem 77, (Abstract 710), Bull Am. Math. Soc., Vol. 58 (1952) p. 662. 
  14. Maurice Frechet [14] De l'écart numérique à l'écart abstrait, Port. Math.,Vol. 5 (1946), pp. 121-181. Zbl0060.39615MR16657
  15. [15] Sur les espaces à ècart régulier èt symétrique, Bull. Soc. Port. Math., Vol. 1 (1947), pp. 25—28. 
  16. Orrin Frink [16] Topology in lattices, Trans. Am. Math. Soc., Vol. 51 (1942), pp. 569—582. Zbl0061.39305
  17. Alfredo Pereira Gomes [17] Sur la fonction diamètre, C. R. (Paris), Vol. 226 (1948), pp. 2112-2113. Zbl0030.34201MR26321
  18. [18] Topologie induite par un pseudo-diamètreC. R. (Paris), Vol. 227 (1948), pp. 107—109. Zbl0036.38701
  19. Paul Halmos [19] Lectures on topological algebras, (unpublished), Univ. of Chicago, 1952. 
  20. F. Hausdorff [20] Grundzüge der Mengenlehre, Berlin, 1927. 
  21. L. Kantorovitch [21] Lineäre halbgeordnete Räume, Mat. Sbornik, Vol. 2 (1937), pp. 121-168. Zbl63.0353.01JFM63.0353.01
  22. H. Loewig [22] Intrinsic topology and completion of boolean algebras, Annals of Math., Vol. 42 (1941), pp. 1138—1196. Zbl0061.39306
  23. Karl Menger [23] Statistical Metrics, Proc. Nat. Acad. Sci., Vol. 28 (1942), pp. 535—537. Zbl0063.03886
  24. G. Baley Price [24] A generalization of a metric space with application to spaces whose elements are sets, Amer. J. Math., Vol. 63 (1941), pp. 546-560. Zbl0025.09603MR3188
  25. R. Vaidyanathaswamy [25] Treatise on Set Topology, Madras, 1947. Zbl0031.41602
  26. Andre Weil [26] Sur les Espaces à Structure Uniforme, Hermann and Cie., Editeurs, Paris, 1937. Zbl0019.18604

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.