On chogoshvili's conjecture

Proceedings of the American Mathematical Society

Volumn 125, Issue 7, 1997, Pages 2155-2160

  Dranishnikov, A N ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744439981     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-04161-0     Document Type: Article

References (11)

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2. G. Chogoshvili, On a theorem in the theory of dimensionality, Compositio Math. 5 (1938), 292-298.
3. K.A. Sitnikov, An example of a two-dimensional set in three-dimensional Euclidean space which does not separate any regions of that space (in Russian), Dokl. Akad. Nauk SSSR 94 (1954), 1007-1010.
4. κ, Ergebnisse Math. Kolloq. 4 (1933), 24-25.
5. n and dimension of their projections, Proc. Amer. Math. Soc. 41 (1973), 631-633.
6. M. Levin, A proof of Chogoshvili conjecture for some 2-dimensional compacta, Preprint (1995).
7. D.O. Kiguradze, Some properties of metric dimension (in Russian), Soobsch. Akad. Nauk. Gruz SSR 132:3 (1988), 485-488.
8. Y. Sternfeld, Stability and Dimension - a counterexample to a conjecture of Chogoshvili, Transactions AMS 340 (1) (1993).
9. F. Ancel and T. Dobrowolski, On the Sternfel-Levin Counterexamples to a conjecture of Chogoshvili-Pontryagin, Preprint.
10. A. Dranishnikov, D. Repovs and E. Schepin, On intersection of compacta in euclidean space: the metastable case, Tsukuba J. Math. 17:2 (1993), 549-564.
11. E.M. Chirka, Complex Analytic Sets, Kluwer, Academic Publish, 1989.