I was researching the inflationary model of the universe and came across the idea that the universe may be both infinite and expanding; and that there isn't a contradiction. As time goes by, the amount of matter in any given area will become less dense due to the metric expansion of space itself. If It was infinite a billion years ago, it is still infinite now, but our finite neighborhood takes up more space in that infinite universe. This would explain why ALL measurements yield a universe with flat curvature; because since the universe has an infinite volume any arbitrary measurement will yield a 0 curvature. My question is this; Can the topology of the universe be infinite in size, flat locally, and have a curvature globally such that the "infinite" universe is simply stretching and not necessary growing in total size.