An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem

A. J. Lemin

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 427-434
  • ISSN: 0010-2628

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Lemin, A. J.. "An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 427-434. <http://eudml.org/doc/17656>.

@article{Lemin1988,
author = {Lemin, A. J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {isosceles space; commutative semigroup},
language = {eng},
number = {3},
pages = {427-434},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem},
url = {http://eudml.org/doc/17656},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Lemin, A. J.
TI - An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 427
EP - 434
LA - eng
KW - isosceles space; commutative semigroup
UR - http://eudml.org/doc/17656
ER -

References

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  1. J. de GROOT, Non-archimedean metrics in topology, Proc. Amer. Math. Soc. 7 (1956), 948-953. (1956) Zbl0072.40201MR0080905
  2. M. KRASNER, Nombres semi-réeles et espaces ultramétriques, Comptes Rendus 219 (1944), 433-435. (1944) MR0015067
  3. M. KRASNER, Espaces ultramétriques et ultramatroĭdes, Séminaire Krasner, 1952-1954, Paris 1956. (1952) 
  4. A. J. LEMIN, Blizost' na ravnobedrennykh prostranstvakh, Uspekhi mat. nauk 39 (1984), 143-144. (1984) MR0733971
  5. A. J. LEMIN, Ob ustoĭchivosti svoĭstva prostranstva byt' ravnobedrennym, Uspekhi mat. nauk 39 (1984), 249-250. (1984) MR0764023
  6. A. J. LEMIN, Izometrichnoe vlozhenie ravnobedrennykh (nearkhimedovykh) prostranstv v evklidovy, Doklady AN SSSR 285 (1985), 558-562. (1985) MR0821340
  7. A. F. MONNA, Remarques sur les métriques non-archimediennes, Proc. Koninkl. Nederl. Ak. Wet. 53 (1950), 470-481. (1950) Zbl0038.10404MR0035982
  8. V. TRNKOVÁ, Homeomorphisms of powers of metric spaces, Comment. Math. Univ. Carolinae 21 (1980), 41-53. (1980) MR0566239
  9. V. TRNKOVÁ, Productive representations of semigroups by pairs of structures, Comment. Math. Univ. Carolinae 18 (1977), 383-391. (1977) MR0444732
  10. V. TRNKOVÁ, Isomorphisms of products and representations of commutative semigroups, Colloquia Math. Soc. J. Bolyai 20 (1976), North Holland 1979, 657-683. (1976) MR0541143
  11. J. VINÁREK, Representations of commutative semigroups by products of metric 0-dimensional spaces, Comment. Math. Univ. Carolinae 23 (1982), 715-726. (1982) MR0687566

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