Continuous mappings between spaces of arcs

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

A blow-analytic homeomorphism is an arc-analytic subanalytic homeomorphism,
and therefore it induces a bijective mapping between the spaces of analytic
arcs. We tackle the question of the continuity of this induced mapping between
the spaces of arcs, giving a positive and a negative answer depending of the
topology involved.

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