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It is shown that MAℵ1 for σ‐centred partial orders implies for any compact n‐manifold M(n > 1) and any two ℵ1‐dense subsets of M there is an autohomeomorphism of M which is a bijection between the two ℵ1‐dense sets.
We prove that the zero set of any quaternionic (or octonionic) analytic function f with central (that is, real) coefficients is the disjoint union of codimension two spheres in R4 or R8 (respectively) and certain purely real points. In particular, for polynomials with real coefficients, the...
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