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测试与范畴学Measure and category 版权信息
- ISBN:9787510004391
- 条形码:9787510004391 ; 978-7-5100-0439-1
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 所属分类:>>
测试与范畴学Measure and category 内容简介
This book has two main themes: the Baire cate8ory theorem as a method for proving existence, and the "duality" between measure and category. The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Lebesgue integration is not essential for present purposes-the Riemann integral is sufficient. Concepts of general measure theory and topology are introduced, but not just for the sake of 8cncrality, Needless to say, the term "category" refers always to Bairc category; it has nothing to do with the term as it is used in homological algebra. The book is a revised and expanded version of notes originally prepared for a course of lectures given at Haverford College during the spring of 1957 under the auspices of the William Pyle Philips Fund. These, in turn, were based on the Earle Raymond Hedrick Lectures presented at the Summer Meeting of the Mathematical Association of America at Seattle, Washington, in August, 1956.
测试与范畴学Measure and category 目录
测试与范畴学Measure and category 作者简介
John C. Oxtoby,美国布尔茅尔学院(Bryn Mawr College)数学系教授。上世纪40年代美国最著名的数学家,在测度论、遍历性理论和拓扑学方面做出了突出的贡献。
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