Two theorems for the n -dimensionality of metric spaces

Jun-Iti Nagata

Compositio Mathematica (1962-1964)

  • Volume: 15, page 227-237
  • ISSN: 0010-437X

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Nagata, Jun-Iti. "Two theorems for the $n$-dimensionality of metric spaces." Compositio Mathematica 15 (1962-1964): 227-237. <http://eudml.org/doc/88876>.

@article{Nagata1962-1964,
author = {Nagata, Jun-Iti},
journal = {Compositio Mathematica},
keywords = {topology},
language = {eng},
pages = {227-237},
publisher = {Kraus Reprint},
title = {Two theorems for the $n$-dimensionality of metric spaces},
url = {http://eudml.org/doc/88876},
volume = {15},
year = {1962-1964},
}

TY - JOUR
AU - Nagata, Jun-Iti
TI - Two theorems for the $n$-dimensionality of metric spaces
JO - Compositio Mathematica
PY - 1962-1964
PB - Kraus Reprint
VL - 15
SP - 227
EP - 237
LA - eng
KW - topology
UR - http://eudml.org/doc/88876
ER -

References

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  1. J. De Groot, [1] On a metric that characterizes dimension, Canadian J. of Math.9 (1957),511—514. Zbl0079.16704
  2. M. Katětov, [2] On the dirraension of non-separable spaces I, Czechoslovak Mathematical J.2(77) (1952), 333—368. Zbl0052.39605
  3. K. Morita, [8] Normal families and dimension theory for metric spaces, Math. Annalen128 (1954), 350—362. Zbl0057.39001
  4. J. Nagata, [4] On a metric characterizing dimension, Proceedings of Japan Academy86 (1960), 827—881. Zbl0115.40201
  5. J. Nagata, [5] On the countable sum of zero-dimensional metric apaces, Fund. Math.48 (1960), 1-14. Zbl0107.40003MR114203
  6. J. Nagata, [6] On a relation between dimension and metrization, Proc. Japan Acad.81 (1956), 237—240. Zbl0071.16004
  7. J. Nagata, [7] Note on dimension theory for metric spaces, Fund. Math.45 (1958), 143—181. Zbl0082.16303
  8. E. Szpilrajn, [8] La dimension et la mesure, Fund. Math.28 (1937), 81-89. Zbl0015.32202JFM63.0559.01
  9. W. Hurewicz and H. Wallman, [9] Dimension Theory, 1941. Zbl67.1092.03MR6493JFM67.1092.03

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