in the reaction of calcium hydroxide with carbon dioxide, identify the reducing and oxidising agent?

Solution: 

In the reaction between calcium hydroxide and carbon dioxide, calcium hydroxide behaves as a base whereas carbon dioxide acts as an acid. Therefore, it is an example of an acid-base type of reaction, not a redox reaction. The chemical equation is as follows,

$\mathrm{Ca}{\left(\mathrm{OH}\right)}_2+{\mathrm{CO}}_2\to {\mathrm{CaCO}}_3+{\mathrm{H}}_2\mathrm{O}$