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Preprint Number 1592
1592. Tomohiro Kawakami Relative theorems of definable C^r G manifolds in real closed fields Email: Submission date: 3 April 2019. PAPER WITHDRAWN, 26 APRIL 2020 Abstract: Let G be a definably compact definable C^r group. We prove that if X is a nondefinably compact affine definable C^r G manifold and X_1, ..., X_n are nondefinably compact definable C^r G submanifolds of X in general position such that (X; X_1, ..., X_n) satisfies the frontier condition, then (X; X_1, ..., X_n) is simultaneously definably C^r G compactifiable. Mathematics Subject Classification: 14P10, 14P20, 58A05, 03C64. Keywords and phrases: definable C^r G manifolds, simultaneous definable C^r G compactifications, simultaneous definable C^r G approximations. Full text:

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