Polarities and some applications.
Institution: | McGill University |
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Department: | Department of Mathematics. |
Degree: | MS. |
Year: | 1964 |
Keywords: | Mathematics.; Polarity (mathematics) |
Record ID: | 1563874 |
Full text PDF: | http://digitool.library.mcgill.ca/thesisfile119203.pdf |
There are numerous situations in which a polarity occurs, several of these being pointed out by G. Birkhoff [2] who first discussed polarities and formulated some of the elementary results. R.M. Thrall examined more closely a polarity between the subspaces of a vector space and the algebra of linear transformations [8]. Another important application arises in lattice completions [2]. [...]