Randall, John D. (1979) Topological types of polynomial mappings. PhD thesis, University of Warwick.

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Abstract

We consider polynomial mappings from IR² to IR², and show that those of degree less than any integer k exhibit finitely many local topological types at 0, and that the proper polynomial mappings of degree less than k which are not singular everywhere exhibit finitely many global topological types. We explicitly construct the local types for the mappings which are not singular everywhere. Applications to Jet spaces and mappings between compact 2-manifolds are outlined.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Polynomials, Mappings (Mathematics), Topology
Official Date:	July 1979
Dates:	Date Event July 1979 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Rand, D. A. (David A.)
Sponsors:	Science Research Council (Great Britain)
Extent:	89 leaves : illustrations
Language:	eng

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