Mr Proach,
I feel I must beg to differ on a point or two. My posting mentioned neither conduction or convection, both of which require a medium to operate in.
Space is not a vaccuum. It is certainly a partial vaccuum but is still rich in matter.
If space contains no heat, then by definition it must be at absolute zero (0 degrees Kelvin) this is the theoretical temperature at which a perfect gas would cease to exist and is theoretical I believe isofar as it cannot be attained. (although scientists have been remarkably close)
I am working from memory here now but back in my engineering days we were taught that the quantity of heat radiated from a body was proportional to the square of the temperature diffference between the body and it's surroundings. Thus if a body is at a temperature of 1000C, and it's surroundings are at 1000C, no heat will be radiated. If the surroundings are close to absolute zero then it will radiate heat with great vigour and perspicacity. The surroundings will consequently increase in temperature. (See the first law of thermodynamics) and the rate of radiation will decrease.
Is that a doughnut.....or a meringue.
(best said with a Scottish accent)