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Homeomorphisms of the mandelbrot Set / (Record no. 182768)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01538nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260706b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Qualifying information | 9789392359385 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.375 |
| Item number | GRO |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Author name | Grothendieck DeWitt |
| 245 ## - TITLE STATEMENT | |
| Title | Homeomorphisms of the mandelbrot Set / |
| Statement of responsibility, etc. | DeWitt Grothendieck. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | India: |
| Name of publisher, distributor, etc. | Phoenix |
| Date of publication, distribution, etc. | 2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | vi , 206 p .: |
| Other physical details | ill . ; |
| Dimensions | 23.5 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | phoenix Mathematics ; |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. on latt s maps 2. Branner hubbard motions and attracting dynamics 3.on cap[ture zones for the family . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | On subsets of the Mandelbrot set, EM ⊂ M, homeomorphisms are constructed by quasi-conformal surgery. When the dynamics of quadratic polynomials is changed piecewise by a combinatorial construction, a general theorem yields the corresponding homeomorphism h : EM → EM in the parameter plane. Each h has two fixed points in EM, and a countable family of mutually homeomorphic fundamental domains. Possible generalizations to other families of polynomials or rational mappings are discussed.<br/>The homeomorphisms on subsets EM ⊂ M constructed by surgery are extended to homeomorphisms of M, and employed to study groups of non-trivial homeomorphisms h : M → M. It is shown that these groups have the cardinality of ℝ, and they are not compact. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics . |
| Topical term or geographic name entry element | Branner hubbard motions and attracting dynamics. |
| Topical term or geographic name entry element | on cap[ture zones for the family . |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Koha item type | Home library | Current library | Shelving location | Date acquired | Accession Number | Full call number | Withdrawn status | Lost status | Not for loan | Collection |
|---|---|---|---|---|---|---|---|---|---|---|
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315667 | 516.375 GRO | ENGLISH - LENDING BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315666 | 516.375 GRO | ENGLISH - LENDING BOOKS | |||
| English Books | Kalaignar Centenary Library Madurai | Kalaignar Centenary Library Madurai | மூன்றாம் தளம் / Third floor | 25/06/2023 | 315665 | 516.375 GRO | ENGLISH - LENDING BOOKS |