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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
proof of Hausdorff paradox
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(Proof)
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"proof of Hausdorff paradox" is owned by GrafZahl.
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Cross-references: congruent, representations, well-defined, subset, image, disjoint union, orbits, partition, finitely generated, product, sphere, fixed point, axis, act on, contradiction, combinations, induction, degree, polynomials, transformation, vector, words, numbers, integer, positive, unity, element, row vectors, rotation matrices, orthonormal basis, generated by, plane, line, theorems, dimensions, fixed, similar, countable, disjoint, action, subgroup, countably infinite, right, acts on, rotations, group, congruence, isometries, bijection, size, natural numbers, Hilbert's hotel, point, infinite, volume, finite, Euclidean space, unit sphere, proof, strict
This is version 3 of proof of Hausdorff paradox, born on 2005-05-15, modified 2005-06-25.
Object id is 7059, canonical name is ProofOfHausdorffParadox.
Accessed 2072 times total.
Classification:
| AMS MSC: | 51M04 (Geometry :: Real and complex geometry :: Elementary problems in Euclidean geometries) | | | 03E25 (Mathematical logic and foundations :: Set theory :: Axiom of choice and related propositions) | | | 20F05 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Generators, relations, and presentations) |
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Pending Errata and Addenda
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