Year: 2020
Author: Weituo Dai, Meng Wang, Limin Sun
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 468–481
Abstract
The main interests here are to study the relationship between $card(X)$ and $card({\cal P}(X))$ and the connection between the separability of a space $X$ and cardinality of some function space on it. We will convert the calculation of $card({\cal P}(X))$ to the calculation of $card({\cal F}(X\rightarrow Q))$.The main tool we used here is Zorn Lemma.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-SU4
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 468–481
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Cardinality separability of space Zorn Lemma.