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7107 Daniel Asimov: There's no space like home.
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number of dimensions goes up, space gets stranger and more interesting.
And so it does, in the trivial sense that any space has all the lower-
dimensional spaces packed inside it. From a deeper point of view, however,
every Euclidean space has its own character, and as far as the number
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By gluing, twisting and otherwise identifying segments of complex
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It has been shown mathematically that, in dimensions four and up, manifolds
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The Poincare' conjecture has been proved in every dimension except three -
why is the 3-dimensional case so hard to prove? Nobody knows.
In one particularly amazing and useful breakthrough, topologists have
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5644 Nigel Hitchin: Review of the book "The geometry of four-manifolds" by 
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18135 Allyn Jackson: Conjectures no mor? Consensus forming on the proof of
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The Thurston geometrization conjecture includes the Poincare' conjecture
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20914 Frank Morgan: Manifolds with density and Perelman's proof
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19198 Valentin Poenaru: What is an infinite swindle?
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