Extension properties and the Niemytzki plane | Zendy

Haruto Ohta | Zendy

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Extension properties and the Niemytzki plane

Author(s) -

Haruto Ohta

Publication year - 2000

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2000.3023

Subject(s) - mathematics , embedding , extension (predicate logic) , plane (geometry) , zero (linguistics) , set (abstract data type) , combinatorics , discrete mathematics , geometry , computer science , artificial intelligence , programming language , linguistics , philosophy

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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