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Fractals and universal spaces in dimension theory

Author: Stephen Lipscomb
Publisher: New York : Springer, ©2009.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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.--
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Lipscomb, Stephen, 1944-
Fractals and universal spaces in dimension theory.
New York : Springer, ©2009
(DLC) 2008938816
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen Lipscomb
ISBN: 0387854940 9780387854946
OCLC Number: 302061646
Description: 1 online resource (xvii, 241 pages) : illustrations (some color).
Contents: 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.
Series Title: Springer monographs in mathematics.
Responsibility: Stephen Leon Lipscomb.
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Abstract:

For metric spaces the quest for universal spaces in dimension theory spanned a century of research, which breaks into two periods: the classical (separable metric) and the modern (not necessarily  Read more...

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From the reviews: "The book is a research monograph reporting on an interesting area of research arising from the confluence of two streams: topology and self-similar fractals. It is written at a Read more...

 
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