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Fractals and Universal Spaces in Dimension Theory

Stephen Leon Lipscomb
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
241
Format: 
Hardcover
Series: 
Springer Monographs in Mathematics
Price: 
79.95
ISBN: 
9780387854939
Category: 
Monograph
We do not plan to review this book.

Preface

Introduction

1. Construction of JA=Jα

2. Self-Similarity and Jn+1 for Finite n

3. No-Carry Property of ωA'

4. Imbedding JA in Hilbert Space

5. Infinite IFS with Attractor ωA'

6. Dimension Zero

7. Decompositions

8. The JAn+1 Imbedding Theorem

9. Minimal-Exponent Question

10. The JA Imbedding Theorem

11. 1992–2007 JA-Related Research

12. Isotopy Moves J5 Into 3-Space

13. From 2-Web IFS to 2 Simplex IFS
   2-Space and the 1-Sphere

14. From 3-Web IFS to 3-Simplex IFS
   3-Space and the 2-Sphere

Appendix 1. Background Basics

Appendix 2. The Standard Simplex

Appendix 3. Measures and Fractal Dimension

Bibliography

Index.

Dummy View - NOT TO BE DELETED