Abstract
There are numerous examples of compact spaces with noncoinciding dimensions ind and dim recently (see [1–4]). The present note shows a number of examples of that kind. They are in certain respects better than the previous ones.
(Presented by academician P. S. Alexandrov 20. X. 1969)
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O. V. Lokucievskij, On the dimension of bicompacta, (Russian), Dokl. Akad. Nauk SSSR 67 (1949), 217–219.
A. Lunc, A bicompactum whose inductive dimension is greater than its dimension defined by means of coverings, (Russian), Dokl. Akad. Nauk SSSR 66 (1949), 801–803.
V. Fedorčuk, Bicompacta with noncoinciding dimensions, (Russian), Dokl. Akad. Nauk SSSR 182 (1968), 275–277.
V. V. Filippov, A, bicompactum satisfying the first axiom of countability with noncoinciding ind and dim dimensions, (Russian), Dokl. Akad. Nauk SSSR 186 (1969), 1020–1022.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Miroslav Katětov, Petr Simon et al.
About this chapter
Cite this chapter
Filbppov, V.V. (1993). Bicompacta with Distinct Dimensions Ind and Dim. In: Katětov, M., Simon, P. (eds) The Mathematical Legacy of Eduard Čech. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7524-0_17
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7524-0_17
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7526-4
Online ISBN: 978-3-0348-7524-0
eBook Packages: Springer Book Archive