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Direct and Projective Limits of Geometric Banach Structures.
Hardcover
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat
ISBN13: 9781032561714
Publisher: Crc Pr Inc
Published: Oct 6 2023
Pages: 472
Weight: 1.90
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents sufficient conditions under which these structures exist by passing to such limits. In fact, such limits appear naturally in many mathematical and physical domains. Many examples in various fields illustrate the different concepts introduced.
Many geometric structures, existing in the Banach setting, are stable by passing to projective and direct limits with adequate conditions. The convenient framework is used as a common context for such types of limits. The contents of this book can be considered as an introduction to differential geometry in infinite dimension but also a way for new research topics.
This book allows the intended audience to understand the extension to the Banach framework of various topics in finite dimensional differential geometry and, moreover, the properties preserved by passing to projective and direct limits of such structures as a tool in different fields of research.
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