Quote: chain spaces is the proof-generated concept that yields an indubitable formulation of Euler's theorem

Quotation Skeleton

EPSILON: Yes. In brief, the translated theorem is: … [p. 116] So my theorem in fact is that … minus the number of dimensions of the 1-chain … essence of Euler's theorem. TEACHER: I like this … will now no doubt prove Euler's theorem by … [Poincare 1899]. … [p. 118] Thus I have proved Euler's controversial theorem … ["boundary" is mod 2 sum, "dimensions" means the number of non-zero components, a "circuit" is a boundaryless chain, a "bounding k-circuit" is the boundary of a (k+1)- chain]   Google-1   Google-2

Copyright clearance needed for quotation.

Related Topics

Topic: mathematical proof (23 items)
Topic: mathematics by proofs and refutations (31 items)