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ON EXTENDING GROUP ACTIONS FROM SURFACES TO THREE SPHERE
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On_Extending_Group_Actions_From_Surfaces_To_Three_Sphere-Damla Erdoğan-MScThesis.pdf
Date
2022-6-21
Author
Erdoğan, Damla
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Even though surfaces are the most elementary objects in geometry and topology, because of the variety of structures they have it is still an active area of research. The symmetries of surfaces have been studied for a long time. One of the compelling questions is which of these symmetries can be extended to handlebodies and 3-sphere. In this thesis, we are focusing on the symmetries of surfaces which can be embedded into the symmetries of 3-sphere. The aim is to give an overview of the problem with some background and present some of the known results with proofs.
Subject Keywords
Finite group actions, extendable map, symmetry of surfaces, symmetry of 3-sphere
URI
https://hdl.handle.net/11511/97888
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Graduate School of Natural and Applied Sciences, Thesis
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D. Erdoğan, “ON EXTENDING GROUP ACTIONS FROM SURFACES TO THREE SPHERE,” M.S. - Master of Science, Middle East Technical University, 2022.