Sets and Mappings

V. V. Volchkov
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V. V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 1 in Integral Geometry and Convolution Equations, 2003, pp 1-4 from Springer

Abstract: Abstract Let A be an arbitrary set. The expression a ∈ A means that a is an element of A If P is a property then {x ∈A x has property P} denotes the set of all x ∈ A with property P. If a set B is subset of A then we write B ⊂ A. We write A = B if A ⊂ B and B ⊂ A Denote by ∉, ≠ the negation for the symbols ∈,=, respectively. As usual 0 denotes the empty set. For arbitrary sets A, B we denote A \ B = {a ∈ A: a ∉ B}. If A is a finite set then card A denotes the number of elements of A.

Keywords: Lebesgue Measure; Extreme Point; Haar Measure; Integral Geometry; Convolution Equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0023-9_1

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DOI: 10.1007/978-94-010-0023-9_1

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