Skip to main content
SpringerLink
Log in

Maps of the Sorgenfrey line

  • Published:
Proceedings of the Steklov Institute of Mathematics Aims and scope Submit manuscript

Abstract

Three theorems are presented concerning continuous maps of the Sorgenfrey line S onto the real line ℝ. The first theorem proves the existence of an open map, the second theorem establishes the nonexistence of an open countably-multiple map, and the third theorem states the impossibility of a weakly closed map.

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

Access this article

Log in via an institution

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. M. A. Patrakeev, Vestn. Tomsk. Gos. Univ. 1(2), 67 (2008).

    Google Scholar 

  2. N. V. Velichko, Sib. Mat. Zh. 13(3), 541 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    N. V. Velichko

Authors
  1. N. V. Velichko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. V. Velichko.

Additional information

Original Russian Text © N.V. Velichko, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Vol. 16, No. 1.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Velichko, N.V. Maps of the Sorgenfrey line. Proc. Steklov Inst. Math. 272 (Suppl 1), 287–291 (2011). https://doi.org/10.1134/S0081543811020209

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0081543811020209

Keywords

Search

Navigation