Knaster's problem on continuous maps of a sphere into Euclidean space-Reference-Cited by-同舟云学术

Knaster's problem on continuous maps of a sphere into Euclidean space

Published:1990-10 Issue:1 Volume:52 Page:2854-2860
ISSN:0090-4104
Container-title:Journal of Soviet Mathematics
language:en
Short-container-title:J Math Sci

Author:

Makeev V. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF01099252.pdf

Reference27 articles.

1. B. Knaster, ?Un continu irreducible a decomposition continue in tranches?, Fund. Math.,25, 568?577 (1935).

2. B. Knaster, ?Problem P4?, Colloq. Math.,1, 30?31 (1947).

3. S. Kakutani, ?A proof that there exists a circumscribing cube around any bounded close in?, Ann. Math.,43, 739?741 (1942).

4. A. de Mira Fernandez, ?Funzione continue sopra una superficie sferica?, Portugaliae Math.,6, 132?134 (1946).

5. H. Hadwiger, ?Elementare Begründung ausgewählter stetigkeitsgeometrischer Sätze für Kreis und Kugelfläche?, Element. Math.,14, No. 3, 49?60 (1959).

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some mapping theorems for continuous functions defined on the sphere;Nonlinear Analysis: Theory, Methods & Applications;2012-03

2. On a property of functions on the sphere and its application;Nonlinear Analysis: Theory, Methods & Applications;2010-11

3. The knaster problem: More counterexamples;Israel Journal of Mathematics;2005-12

4. Counterexamples to Knaster's conjecture;Topology;1998-03