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(2004 / vol.7 / no.1)
Recent progress in semialgebraic transformation group theory with some applications
Myung-Jun Choi, Dae Heui Park, Dong Youp Suh
Pages. 23-29     



We survey some recent developments in semialgebraic transformation
group theory which has been turned out to be useful for the study
of difficult classical problems.



1. Introduction
2. Semialgebraic sets
3. Semialgebraic groups and Semialgebraic $G$-sets
4. Covering homotopy theorem and Mapping cylinder conjecture



transformation groups, semialgebraic, slice, embedding



57Sxx, 14P10, 57S99, 57Q10, 19