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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper

4 votes

Decomposing the plane into intervals

Start with the collection of half-open intervals of the form $[a,a+1) \times 0$ where $a \geq 0$ is an integer. This decomposes the positive $x$-axis into half-open intervals. Now, for every value of …
Jeremy West's user avatar