Astronomers ignore inflation in the type of question you have asked. They use the red shift value in determining distance. If something has a red shift value of , say 2, they know it has a corresponding distance based on the Doppler principle. Again, inflation is not considered in this, and the older more traditional ideas of pure expansion are used instead.<br /><br />In some respects, inflation is not a very logical idea, so maybe this is why it is ignored. Yet it is absolutely needed to put objects in the universe where we see them. If you think about it, this is what we see: “edge’ of universe 15 BLYs in one direction, as it was 15Billion years ago, “edge’ of universe 15 BLYs in opposite direction, as it was 15 Billion years ago, and our local universe that has been right here for 15 Billion years. How can you explain this without some sort of inflation notion???? Only part of this scenario might be explainable with relativity field equations that can be used to describe curvature of space/time.<br /><br />Cepheids cannot be used in great distances such as this because we cannot see individual stars in very distant galaxies. But we can measure a galaxies red shift and get relative brightness data from them to get distance.<br />