ch. 1. Construction of J{sub}A{sub} = J{alpha} -- ch. 2. Self-Similarity and J{sub}n+1{sub} for Finite n -- ch. 3. No-Carry Property of [omega]{super}A{mlprime}{super} -- ch. 4. Imbedding J{sub}A{sub} in Hilbert Space -- ch. 5. Infinite IFS with Attractor [omega]{super}A{mlprime}{super} -- ch. 6. Dimension Zero -- ch. 7. Decompositions -- ch. 8. The J{super}n+1{super}/{sub}A{sub} -- ch. 9. Minimal-Exponent Question -- ch. 10. The J[infinity]/A -- ch. 11. 1992-2007 J{sub}A{sub}-Related Research -- ch. 12. Isotopy Moves J{sub}5{sub} into 3-Space -- ch. 13. From 2-Web IFS to 2-Simplex IFS -- ch. 14. From 3-Web IFS to 3-Simplex IFS -- Appendix 1. Background Basics -- Appendix 2. The Standard Simplex [delta]{super}A{super} in l{super}2{super}(A) -- Appendix 3. Measures and Fractal Dimension
CHAPTER 13 From 2-Web IFS to 2-Simplex IFS2-Space and the 1-SphereCHAPTER 14 From 3-Web IFS to 3-Simplex IFS3-Space and the 2-Sphere; APPENDIX 1 Background Basics; APPENDIX 2 The Standard Simplex?A in l2(A); APPENDIX 3 Measures and Fractal Dimension; Bibliography; Index
Summary
Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical and the modern (not-necessarily separable metric). The current volume unifies the modern theory from 1960 to 2007.-- Source other than Library of Congress
