EXAMPLES AND FUNCTION THEOREMS AROUND AP AND WAP SPACES | Zendy

Myung-Hyun Cho | Zendy; Jun-Hui Kim | Zendy; Mi-Ae Moon | Zendy

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EXAMPLES AND FUNCTION THEOREMS AROUND AP AND WAP SPACES

Author(s) -

Myung-Hyun Cho,

Jun-Hui Kim,

Mi-Ae Moon

Publication year - 2008

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2008.23.3.447

Subject(s) - mathematics , space (punctuation) , convergence (economics) , function (biology) , image (mathematics) , function space , pure mathematics , discrete mathematics , topology (electrical circuits) , combinatorics , computer science , artificial intelligence , evolutionary biology , economics , biology , economic growth , operating system

We provide some examples around AP and WAP spaces which are connected with higher convergence properties-radiality, semiradiality and pseudoradiality. We also prove a theorem (Theorem 3.2) that (a) any pseudo-open continuous image of an AP-space is an AP-space and (b) any pseudo-open continuous image of an WAP-space is an WAP-space. This answers the question posed by V. V. Tkachuk and I. V. Yaschenko [10].

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