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New Foundations for Physical Geometry – The Theory of Linear Structures - Oxford Scholarship Online
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New Foundations for Physical Geometry: The Theory of Linear Structures

Tim Maudlin

Abstract

Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. This is the initial volume in a two-volume set, the first of which develops the mathematical structure and the second of which applies it to classical and Relativistic phy ... More

Keywords: Topology, geometry, space-time, theory of linear structures, intrinsically directed space, discrete space, continuum

Bibliographic Information

Print publication date: 2014 Print ISBN-13: 9780198701309
Published to Oxford Scholarship Online: April 2014 DOI:10.1093/acprof:oso/9780198701309.001.0001

Authors

Affiliations are at time of print publication.

Tim Maudlin, author
New York University