European Journal of Mathematics

pp 1–8 | Cite as

A zero-dimensional not strongly zero-dimensional X with Lindelöf Open image in new window

• Authors
• Authors and affiliations

• Oleg Okunev
• Alfredo Sánchez Jiménez

Research Article

First Online: 25 November 2019

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Abstract

We prove, modifying Dowker’s example, that there exists a normal space X such that Open image in new window is Lindelöf, X is zero-dimensional and is not strongly zero-dimensional.

Keywords

Topology of pointwise convergence Lindelöf spaces Zero-dimensional spaces 

Mathematics Subject Classification

54C35 54D20 54G20 

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Notes

Acknowledgements

The authors thank the Referees for careful examination of the article and indispensably useful comments.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

• Oleg Okunev
  • 1
  Email authorView author's OrcID profile
• Alfredo Sánchez Jiménez
  • 1

1. 1.Benemérita Universidad Autónoma de PueblaPueblaMexico