What question did this study set out to answer?

The aim is to explore piecewise definable triviality and the compactification of definable C^r G groups.

June 4, 2026Open Access

Piecewise definable CʳG triviality and definable CʳG compactification

Key Points

The aim is to explore piecewise definable triviality and the compactification of definable C^r G groups.
Investigated G-invariant surjective submersive properties of definable C^r submanifolds.
Analyzed relationships between definably compact definable C^r groups and their submanifolds.
Demonstrated that every G-invariant surjective submersive map between definable C^r submanifolds is viable in a generalized structure.
Established new connections between piecewise defining aspects and triviality in C^r G groups.

Abstract

Let G be a definably compact definable C r group and 1 ≤ r < ∞.Let X be a definable C r G submanifold of a representation of G and Y a definable C r submanifold of R n .We prove that every G invariant surjective submersive definable C

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Cite This Study

Tomohiro KAWAKAMI (Wed,) studied this question.

synapsesocial.com/papers/6a211549d499ed480b16e82b https://doi.org/https://doi.org/10.19002/an00257977.63.17

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