A column reinforced with two reinforcement sleeves provides a low-cost, simpler method to form strong concrete columns for constructing buildings and other structures. The column includes a multi-axially braided reinforcement outer sleeve and an inner sleeve, which together provide sufficient structural support so that rebar can be eliminated from the column. Elimination of rebar saves cost and prevents the possibility of rebar oxidation which might otherwise undermine the structural integrity of the column and lead to catastrophic structural failure. The reinforcement sleeve is lightweight, easy to transport, and can be greatly reduced in size to facilitate transportation. The reinforcement sleeve and construction method can be utilized in many implementations and can be particularly useful for constructing buildings or other structures in geographic areas that are subject to earthquakes and/or corrosion, and where low cost is important.