@Article{ATA-36-468, author = {Dai , WeituoWang , Meng and Sun , Limin}, title = {A Note on $Card(X)$}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-SU4}, url = {http://global-sci.org/intro/article_detail/ata/18464.html} }