Approximate homomorphisms II: Group homomorphisms

Combinatorica

Volumn 20, Issue 1, 2000, Pages 47-60

  Farah, Ilijas ^a,b,c  

^a YORK UNIVERSITY   (Canada)

^b MATHEMATICAL INSTITUTE   (Serbia)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034360770     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004930070030     Document Type: Article

References (12)

1. J. P. R. CHRISTENSEN: Some results with relation to the control measure problem, in: Vector Measures and Applications, volume 644 of Lecture Notes in Mathematics, pages 125-158. Springer-Verlag, 1978.
2. I. FARAH: Approximate homomorphisms, Combinatorica, 18 (1998), 335-348.
3. I. FARAH: Completely additive liftings, The Bulletin of Symbolic Logic, 4 (1998), 37-54.
4. I. Farah: Liftings of homomorphisms between quotient structures and Ulam stability, to appear in Proceedings of the Logic Colloquium '98, 1999.
5. G. L. Forti: Hyers-Ulam stability of functional equations in several variables, Aequationes Math., 50 (1995), 143-190.
6. R. L. GRAHAM, B. L. ROTSCHILD, and J. SPENCER: Ramsey Theory, John Wiley and Sons, 1980.
7. V. KANOVEI and M. REEKEN: On Ulam's problem of approximation of non-exact homomorphisms, preprint, 1999.
8. D. KAZHDAN: On ε-representations, Israel Journal of Mathematics, 43 (1983), 315-323.
9. M. TALAGRAND: Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem, Geometric and Functional Analysis, 3 (1993), 295-314.
10. M. TALAGRAND: On boundaries and influences, Combinatorica, 17 (1997), 275-285.
11. S. M. ULAM: Problems in Modern Mathematics, John Wiley & Sons, 1964.
12. S. M. ULAM and D. MAULDIN: Mathematical problems and games, Advances in Applied Mathematics, 8 (1987), 281-344.