Skip to main content
Log in

On the spectral height of F-compact spaces

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We prove that given an ordinal α with 0 < αω 1 and αβ+1, where β is a limit ordinal, there exists an F-compact space of spectral height α.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ivanov A. V., “On Fedorchuk’s bicompacta,” in: Mappings and Functors [in Russian], Moscow Univ., Moscow, 1984, pp. 31–40.

    Google Scholar 

  2. Watson S., “The construction of topological spaces: Planks and resolutions,” in: Recent Progress in General Topology, North-Holland, Amsterdam, 1992, pp. 673–757.

    Google Scholar 

  3. Fedorchuk V. V., “Fully closed mappings and their applications,” J. Math. Sci. (New York), 136, No. 5, 4201–4292 (2006).

    Article  MathSciNet  Google Scholar 

  4. Ivanov A. V. and Kashuba E. V., “Hereditary normality of a space of the form F (X),” Siberian Math. J., 49, No. 4, 650–659 (2008).

    Article  MathSciNet  Google Scholar 

  5. Ivanov A. V. and Osipov E. V., “Degree of discrete generation of compact sets,” Math. Notes, 87, No. 3, 367–371 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  6. Ivanov A. V., “A generalization of Gruenhage’s example,” Topology Appl., 157, No. 3, 517–525 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  7. Fedorchuk V. V., “Fully closed maps, scannable spectra and cardinality of hereditarily separable spaces,” Gen. Topology Appl., 10, No. 3, 247–274 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  8. Ivanov A. V., “Hereditary normality of F-bicompacta,” Math. Notes, 39, No. 4, 332–334 (1986).

    Article  MATH  Google Scholar 

  9. Fedorchuk V. V., “Bicompacta with noncoinciding dimensionalities,” Soviet Math., Dokl., 9, 1148–1150 (1968).

    MATH  Google Scholar 

  10. Aleksandroff P. S. and Pasynkov B. A., Introduction to Dimension Theory [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  11. Fedorchuk V. V., “A compact Hausdorff space all of whose infinite closed subsets are n-dimensional,” Math. USSR-Sb., 25, No. 1, 37–57 (1975).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Baranova.

Additional information

Original Russian Text Copyright © 2013 Baranova M.A. and Ivanov A.V.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 3, pp. 498–503, May–June, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baranova, M.A., Ivanov, A.V. On the spectral height of F-compact spaces. Sib Math J 54, 388–392 (2013). https://doi.org/10.1134/S0037446613030026

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446613030026

Keywords

Navigation