Topology of a mathematical plane

samedi 31 août 2013

Assuming a mathematical plane, does it have a top and a bottom or does defining them make the plane three dimensional?



Example: Given a flat, transparent plastic sheet. One draws a picture on it with a marker. If one turns the sheet over, in other words looking at the bottom of the sheet rather than the top, the picture is the mirror image of what one views from the top.



Can someone explain the topology of the above?






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