TY - JOUR
T1 - A Note on $Card(X)$
AU - Dai , Weituo
AU - Wang , Meng
AU - Sun , Limin
JO - Analysis in Theory and Applications
VL - 4
SP - 468
EP - 481
PY - 2020
DA - 2020/12
SN - 36
DO - http://doi.org/10.4208/ata.OA-SU4
UR - https://global-sci.org/intro/article_detail/ata/18464.html
KW - Cardinality,  separability of space, Zorn Lemma.
AB - <p style="text-align: justify;">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&nbsp; $card({\cal P}(X))$ to the calculation of $card({\cal F}(X\rightarrow Q))$.The main tool we used here is Zorn Lemma.</p>