should a maple tree be topped so the branches will get fuller?

Answer 1

In a word NO! Topping hurts trees, creating a large wound that won't seal, and can act as an entry point for disease. Trees attain their natural spread after a few years when the side branches have had a chance to develop, and there is no way to speed this process. Many maples attain a crown spread of 30-40 feet when open grown, you just need to give them time.

http://www.treesaregood.com/treecare/topping.aspx

Answer 2

I like to think that GOD put these things here to be for our use.