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Sequence-covering maps on submetrizable spaces

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Abstract

A topological space is called submetrizable if it can be mapped onto a metrizable topological space by a continuous one-to-one map. In this paper we answer two questions concerning sequence-covering maps on submetrizable spaces.

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References

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Acknowledgement

The author would like to thank Anton Lipin for the help with the simplification of the original proof.

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Correspondence to V. Smolin.

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The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation.

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Smolin, V. Sequence-covering maps on submetrizable spaces. Acta Math. Hungar. (2024). https://doi.org/10.1007/s10474-024-01426-x

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  • DOI: https://doi.org/10.1007/s10474-024-01426-x

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