Commutative Algebra: Recent Advances in Commutative Rings,

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Take one of the demonstration crosses and tape together two opposite "arms" into an untwisted loop. Morse theory is another branch of differential topology, in which topological information about a manifold is deduced from changes in the rank of the Jacobian of a function. Follow the directions in Tetra-tetra-flexagon to assemble. The job is harder, because it is necessary to give a rigorous proof that the asserted list of features of a manifold is necessary and sufficient for being homeomorphic to a sphere.

Pages: 375

Publisher: Springer; 2014 edition (July 15, 2014)


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