Notes on Measure Theory. Part I. Lattices and Lattice Functionals.
TULANE UNIV NEW ORLEANS LA
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These notes represent an introduction to measure theory from the viewpoint of lattices and lattice functionals. The viewpoint followed here is not at all new it goes back at least as far as a paper by Caratheodory in 1938, and was advanced considerably in the original 1940 edition of Garrett Birkhoffs Lattice Theory. The material is simply an abstraction of that part of point set theory usually described as measure theory.
- Theoretical Mathematics