Correcting theorem 1 from "When lines go bad in hyperspace"

• Autorzy: Schlicker S. , Bay C. , Lembcke A.
• Języki publikacji: EN

Abstrakty

EN

This is in regards to the paper "When Lines go bad in hyperspace" by Christopher Bay, Amber Lembcke, and Steven Schlicker which appears in Demonstratio Mathematica, No. 3, Volume 38 (2005), p. 689-701. It has recently been brought to our attention that Theorem 1 from this paper is not correct. Please note that the main conclusions of the paper do not depend at all on this theorem. However, as the authors we feel it is our responsibility to bring this erroneous theorem to your attention. As stated in the paper, Theorem 1 intends to demonstrate that there can be infinitely many elements at a given location between two sets A and B.

Słowa kluczowe

EN

hyperspace; metric geometry

PL

hiperprzestrzeń; geometria metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 237--240
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Schlicker S.

autor

Bay C.

autor

Lembcke A.

• Department of Mathematics 2307 Macking Hall Grand Valley State University 1 Campus Drive Allendale, MI 49401-9403,

Bibliografia

• [1] Ch. Blackburn, K. Lund, S. Schlicker, P. Sigmon, A. Zupan, A Missing Prime Configuration in the Hausdorff Metric Geometry, Journal of Geometry, to appear.
• [2] A. Bogdewicz, Some Properties of Hyperspaces, Demonstratio Mathematica, 33 (2000) 135-149.
• [3] D. Braun, J. Mayberry, A. Powers, S. Schlicker, The Geometry of the Hausdorff Metric, available at http://faculty.gvsu.edu/schlicks/Hausdorff_paper.pdf, February, 2003.