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{ "item_title" : "Geometry of Subanalytic and Semialgebraic Sets", "item_author" : [" M. Shiota", "Masahiro Shiota "], "item_description" : "I. Preliminaries.-1.1. Whitney stratifications.-1.2. Subanalytic sets and semialgebraic sets.-1.3. PL topology and C? triangulations.- II. X-Sets.-11.1. X-sets.-11.2. Triangulations of X-sets.-11.3. Triangulations of X functions.-11.4. Triangulations of semialgebraic and X0 sets and functions.-11.5. Cr X-manifolds.-11.6. X-triviality of X-maps.-11.7. X-singularity theory.- III. Hauptvermutung For Polyhedra.-III.1. Certain conditions for two polyhedra to be PL homeomorphic.-III.2. Proofs of Theorems III.1.1 and III.1.2.- IV. Triangulations of X-Maps.-IV.l. Conditions for X-maps to be triangulable.-IV.2. Proofs of Theorems IV.1.1, IV.1.2, IV.1.2? and IV.1.2?.-IV.3. Local and global X-triangulations and uniqueness.-IV.4. Proofs of Theorems IV.1.10, IV.1.13 and IV.1.13?.- V. D-Sets.-V.1. Case where any D-set is locally semilinear.-V.2. Case where there exists a D-set which is not locally semilinear.- List of Notation.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/81/764/000/0817640002_b.jpg", "price_data" : { "retail_price" : "99.00", "online_price" : "99.00", "our_price" : "99.00", "club_price" : "99.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Geometry of Subanalytic and Semialgebraic Sets|M. Shiota

Geometry of Subanalytic and Semialgebraic Sets

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Overview

I. Preliminaries.- 1.1. Whitney stratifications.- 1.2. Subanalytic sets and semialgebraic sets.- 1.3. PL topology and C? triangulations.- II. X-Sets.- 11.1. X-sets.- 11.2. Triangulations of X-sets.- 11.3. Triangulations of X functions.- 11.4. Triangulations of semialgebraic and X0 sets and functions.- 11.5. Cr X-manifolds.- 11.6. X-triviality of X-maps.- 11.7. X-singularity theory.- III. Hauptvermutung For Polyhedra.- III.1. Certain conditions for two polyhedra to be PL homeomorphic.- III.2. Proofs of Theorems III.1.1 and III.1.2.- IV. Triangulations of X-Maps.- IV.l. Conditions for X-maps to be triangulable.- IV.2. Proofs of Theorems IV.1.1, IV.1.2, IV.1.2? and IV.1.2?.- IV.3. Local and global X-triangulations and uniqueness.- IV.4. Proofs of Theorems IV.1.10, IV.1.13 and IV.1.13?.- V. D-Sets.- V.1. Case where any D-set is locally semilinear.- V.2. Case where there exists a D-set which is not locally semilinear.- List of Notation.

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Details

  • ISBN-13: 9780817640002
  • ISBN-10: 0817640002
  • Publisher: Birkhauser
  • Publish Date: September 1997
  • Dimensions: 9.21 x 6.14 x 1 inches
  • Shipping Weight: 1.78 pounds
  • Page Count: 454

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