Dynamic Content Filtering

I am trying to meet a customer request to provide dynamic
filtered content that will be used in a specific way. The customer would like
four buttons representing information categories to be available on a cover page. By clicking on a button,
dynamic filtering would filter out topics that are not
conditionally tagged for that specific category. They do not want the user to use the filtering
tool. Instead, they would like to click on a button or image that invokes the
filter.

Is there a way to accomplish this, such as through the use
of creating a script?

Thanks.