C-embedding, Lindelöfness, and Čech-completeness

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C-embedding, Lindelöfness, and Čech-completeness

Journal Article (2026)

Author(s)

Alan Dow (University of North Carolina at Charlotte)

Klaas Pieter Hart (TU Delft - Analysis)

Jan van Mill (Universiteit van Amsterdam, Korteweg-de Vries Institute for Mathematics)

Hans Vermeer (TU Delft - Analysis)

Research Group

Analysis

Product Lindelöf C-embedding Perfect preimage Čech-complete

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https://resolver.tudelft.nl/uuid:0f63b83b-f510-4d68-a644-fd933b2acdd1

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Publication Year

2026

Language

English

Research Group

Analysis

Bibliographical Note

Green Open Access added to TU Delft Institutional Repository as part of the Taverne amendment. More information about this copyright law amendment can be found at https://www.openaccess.nl. Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Journal title

Topology Proceedings

Volume number

67

Pages (from-to)

1-12

Downloads counter

51

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Abstract

We show that in the class of Lindelöf Čech-complete spaces the property of being C-embedded is quite well-behaved. It admits a useful characterization that can be used to show that products and perfect preimages of C-embedded spaces are again C-embedded. We also show that both properties, Lindelöf and Čech-complete, are needed in the product result.

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