Traditionally before bikes had gears and multiple sprockets on the rear the standard for chains and sprockets was 1/8". When derailleurs with multiple sprocket cassettes started they had to make the sprockets thinner to fit them all in so they made them 3/32". Single speed track bikes still use 1/8" sprockets and chain and I checked the spec in the link you posted and your bike has a 1/8" chain so you will need a 1/8" sprocket. The reason you can buy 3/32" single sprockets is that people often want to use a chainwheel from a bike with gears to to create a single speed bike so they already have the narrower chainwheel but it is not a good idea because narrow chains are not as strong as the 1/8" chains used on track bikes
thanks for the reply above,
John