A Constructive Proof of the Borsuk-Ulam Antipodal Point Theorem.

reportActive / Technical Report | Accession Number: ADA092679 | Open PDF

Abstract:

A proof of the Borsuk-Ulam Antipodal Point Theorem is presented by means of a constructive algorithm that computes an approximate solution by means of a simplicial subdivision and integer labels. Author

Author(s):
Freund, R. M.
Author Organization(s):
STANFORD UNIV CA SYSTEMS OPTIMIZATION LAB
Descriptive Note:
Technical rept.,
Supplementary Note:
Sponsored in part by Contracts DE-AC03-76-SF00326 and DE-AT03-76-ER72018 and Grant NSF-SOC78-16811.
Pagination:
0009

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
SOL-80-9
Contract/Grant Number(s):
DAAG29-78-G-0026, NSF-MCS77-05623
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*ALGEBRAIC TOPOLOGY, *POINT THEOREM, *SIMPLEX METHOD, ALGORITHMS, SEQUENCES(MATHEMATICS), THEOREMS, TRIANGULATION
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1980 May 01