Fractals_and_Universal_Spaces_in_Dimension_Theory-Lipscomb.pdf

S pringer M onographs in M athematics

For further volumes:

www.springer.com/series/3733

Stephen Leon Lipscomb

Fractals and Universal

Spaces in Dimension Theory

With 91 Illustrations and 10 Tables

123

Stephen Leon Lipscomb

Emeritus Professor of Mathematics

Department of Mathematics

University of Mary Washington

Fredericksburg, VA 22401

USA

slipscomb@umw.edu

ISSN: 1439-7382

ISBN: 978-0-387-85493-9

e-ISBN: 978-0-387-85494-6

DOI 10.1007/978-0-387-85494-6

Library of Congress Control Number: 2008938816

Mathematics Subject Classiﬁcation (2000): 54xx, 28A80, 57xx

Springer Science+Business Media, LLC 2009

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Dedicated to my wife Patty,

our sons Stephen and Darrin,

and

my mother Dema Ann (Alkire),

and the memory of my father

David Leon Lipscomb

Balsa-wood model of J 5 constructed by Gene Miller. 1

1 Photograph by Marlin Thomas; graphical adjustments by Bulent Atalay.