Anal. Theory Appl., 36 (2020), pp. 468-481.
Published online: 2020-12
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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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-SU4}, url = {http://global-sci.org/intro/article_detail/ata/18464.html} }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.