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Lineability: The Search for Linearity in Mathematics

Lineability: The Search for Linearity in Mathematics

Paperback

Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat

AlgebraGeneral Mathematics

ISBN10: 1138894435
ISBN13: 9781138894433
Publisher: CRC Press
Published: Feb 13 2018
Pages: 328
Weight: 1.02
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

Bringing together research that was otherwise scattered throughout the literature, this book collects the main results on the conditions for the existence of large algebraic substructures. Many examples illustrate lineability, dense-lineability, spaceability, algebrability, and strong algebrability in different areas of mathematics, including real and complex analysis. The book presents general techniques for discovering lineability in its diverse degrees, incorporates assertions with their corresponding proofs, and provides exercises in every chapter.

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Algebra