Extension properties and the Niemytzki plane

Authors

  • Haruto Ohta Shizuoka University

DOI:

https://doi.org/10.4995/agt.2000.3023

Keywords:

C*-embedded, C-embedded, P-embedded, uniformly locally finite, Niemytzki plane, Tychonoff plank

Abstract

The first part of the paper is a brief survey on recent topics concerning the relationship between C*-embedding and C-embedding for closed subsets. The second part studies extension properties of the Niemytzki plane NO. A zero-set, z-; C*-, and P-embedded subsets of NP are determined. Finally, we prove that every C*-embedded subset of NP is a P-embedded zero-set, which answers a problem raised in the first part.

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Author Biography

Haruto Ohta, Shizuoka University

Faculty of Education

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Published

2000-10-01

How to Cite

[1]
H. Ohta, “Extension properties and the Niemytzki plane”, Appl. Gen. Topol., vol. 1, no. 1, pp. 45–60, Oct. 2000.

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Section

Articles