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Continuous rational functions on real and $p$-adic varieties

Published 19 Jan 2011 in math.AG | (1101.3737v2)

Abstract: This note studies, and partially solves, 3 elementary questions about continuous rational functions on real (and p-adic) algebraic varieties: Can one restrict such a function to a subvariety? Can one extend such a function from a subvariety? Which linear equations can be solved using such functions?

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