Proper Map Of The World

For starters, africa is way bigger than it looks, and greenland isn't nearly so vast. ( =) ) let fb. But that map, created by flemish cartographer gerardus mercator in 1569.

Set is compact because f proper =) f 1[k] is compact and f 1[k] compact =) f f 1[k] compact. The padrón real was the spanish crown’s official and secret master map, made from hundreds of sailors’ reports of any new lands and their coordinates. Areas like greenland, antarctica, and africa are all distorted on traditional mercator maps because it's difficult, if not impossible, to replicate the globe in two.

Every surjective proper map is a compact covering map.

Fifth and lastly, the final rectangular world map is created with an aspect ratio of √3:4. Every continuous map from a compact space to a hausdorff space is both proper and closed. While this is true of any map, these distortions reach extremes in a world map. It has straight pole lines top and bottom with bulging left and right margins marking its 180 degree boundary cut in the middle of the pacific.