Proceedings of the Japan Academy

Notes on topological spaces, II. Some properties of topological spaces with Lebesgue property

Kiyoshi Iséki

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 32, Number 3 (1956), 171-173.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195525436

Digital Object Identifier
doi:10.3792/pja/1195525436

Mathematical Reviews number (MathSciNet)
MR0077915

Zentralblatt MATH identifier
0072.40203

Subjects
Primary: 56.0X

Citation

Iséki, Kiyoshi. Notes on topological spaces, II. Some properties of topological spaces with Lebesgue property. Proc. Japan Acad. 32 (1956), no. 3, 171--173. doi:10.3792/pja/1195525436. https://projecteuclid.org/euclid.pja/1195525436


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References

  • [1] K. Iseki: On the property of Lebesgue in uniform spaces. I-V, Proc. Japan Acad., 31, 220-221, 270-271, 441-442, 524-525, 618-619 (1955).
  • [2] S. Kasahara: On the Lebesgue property in uniform spaces, Math. Japonicae, 3, 127-132 (1955).
  • [3] A. A. Monteiro et M. M. Peixoto: Le nombre de Lebesgue et la continuite uniforme, Port. Math., 10, 105-113 (1951).
  • [4] W. Sierpinski: Sur une propriete des fonctions semi-continues, Fund. Math., 9, 1-2 (1927).

See also

  • Part I: Kiyoshi Iséki. Notes on topological spaces, I. A theorem on uniform spaces. Proc. Japan Acad., Volume 32, Number 1 (1956), 27--28.
  • Part III: Kiyoshi Iséki, Yasue Miyanaga. Notes on topological spaces, III. On space of maximal ideals of semiring. Proc. Japan Acad., Volume 32, Number 5 (1956), 325--328.
  • Part IV: Kiyoshi Iséki, Yasue Miyanaga. Notes on topological spaces, IV. Function semiring on topological spaces. Proc. Japan Acad., Volume 32, Number 6 (1956), 392--395.
  • Part V: Kiyoshi Iséki. Notes on topological spaces, V. On structure spaces of semiring. Proc. Japan Acad., Volume 32, Number 7 (1956), 426--429.