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Applications of Point Set Theory in Real Analysis (Hardcover, 1998 ed.)
Loot Price: R2,931
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Applications of Point Set Theory in Real Analysis (Hardcover, 1998 ed.)
Series: Mathematics and Its Applications, 429
Expected to ship within 10 - 15 working days
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This book is devoted to some results from the classical Point Set
Theory and their applications to certain problems in mathematical
analysis of the real line. Notice that various topics from this
theory are presented in several books and surveys. From among the
most important works devoted to Point Set Theory, let us first of
all mention the excellent book by Oxtoby [83] in which a deep
analogy between measure and category is discussed in detail.
Further, an interesting general approach to problems concerning
measure and category is developed in the well-known monograph by
Morgan [79] where a fundamental concept of a category base is
introduced and investigated. We also wish to mention that the
monograph by Cichon, W";glorz and the author [19] has recently been
published. In that book, certain classes of subsets of the real
line are studied and various cardinal valued functions
(characteristics) closely connected with those classes are
investigated. Obviously, the IT-ideal of all Lebesgue measure zero
subsets of the real line and the IT-ideal of all first category
subsets of the same line are extensively studied in [19], and
several relatively new results concerning this topic are presented.
Finally, it is reasonable to notice here that some special sets of
points, the so-called singular spaces, are considered in the classi
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