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edited title

edited Jul 23 at 20:49

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No analytic surjection $f:M \to N$ when $\dim(M) >\dim(N)$

Inspired by comment discussions in this MO post smooth version of splitting principle we ask:

Are there two compact real analytic manifolds $M,N$ of dimension $m>n$ such that there is no any analytic surjection $f:M \to N$?

dg.differential-geometry differential-topology smooth-manifolds real-analytic-structures

asked Jul 23 at 20:47

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