Geometry of good sets in n-fold Cartesian product

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Volumn 114, Issue 2, 2004, Pages 181-197

  Klopotowski A ^a   Nadkarni, M G ^b,c   Rao, K P S Bhaskara ^d  

^a UNIVERSITÉ PARIS 13   (France)

^b INSTITUTE OF MATHEMATICAL SCIENCES   (India)

^c CHENNAI MATHEMATICAL INSTITUTE   (India)

^d Southwestern College   (United States)

Author keywords

Boundary; Full sets; Geodesies; Good set

Indexed keywords

ALGEBRA; FUNCTIONS; LINEAR EQUATIONS; PROBABILITY; PROBLEM SOLVING;

FULL SETS; FUNCTION ALGEBRAS; GEODESICS; GOOD SET;

SET THEORY;

EID: 2942618329     PISSN: 02534142     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02829852     Document Type: Conference Paper

References (20)

1. Beneš V and Štepán J, The support of extremal probability measures with given marginals, mathematical statistics and probability theory (eds) M L Puri et al (1987) (D Reidel Publishing Company) vol. A, pp. 33-41
2. Beneš V and Štepán J, Extremal solutions in the marginal problem, in: Advances in probability distributions with given marginals (Dordrecht: Kluwer Academic Publishers) (1991) pp. 189-207
3. Cowsik R C, Klopotowski A and Nadkarni M G, When is f(x, y) = u(x) + v(y)?, Proc. Indian Acad. Sci. (Math. Sci.) 109 (1999) 57-64
4. Douglas R G, On extremal measures and subspace density, Michigan Math. J. 11 (1964) 243-246
5. Hestir K and Williams S C, Supports of doubly stochastic measures, Bernoulli 1(3) (1995) 217-243
6. Klopotowski A, Nadkarni M G, Sarbadhikari H and Srivastava S M, Sets with doubleton sections, good sets and ergodic theory, Fund. Math. 173 (2002) 133-158
7. n)? Proc. Indian Acad. Sci. (Math. Sci.) 113 (2003) 77-86
8. Kolmogorov A N, On the representation of continuous functions of several variables a superposition of continuous functions of one variable and addition, Dokl. Acad. Nauk. SSSR 114 (1957) 679-681; Am. Math. Soc. Transl. 28 (1963) 55-59
9. Kolmogorov A N, On the representation of continuous functions of several variables a superposition of continuous functions of one variable and addition, Dokl. Acad. Nauk. SSSR 114 (1957) 679-681; Am. Math. Soc. Transl. 28 (1963) 55-59
10. Lindenstrauss J, A remark on doubly stochastic measures, Am. Math. Monthly 72 (1965) 379-382
11. Marshall D E and O'Farrell A G, Uniform approximation by real functions, Fund. Math. CIV (1979) 203-211
12. Marshall D E and O'Farrell A G, Approximation by sums of two algebras, the lightening bolt principle, J. Funct. Anal. 52 (1983) 353-368
13. Medvedev V A, On the sum of two closed algebras of continuous functions on a compactum, Funktsionaĺnyi Analiz i Ego Prilozheniya, 27 ( 1993) 33-36 (English Translation: Plenum Publishing Corp. 1993)
14. R(X), Proc. Am. Math. Soc. 98 (1986) 71-74
15. R(X), II, Proc. Am. Math. Soc. 100 (1987) 123-126
16. Navada K G, Some remarks on good sets (Preprint)
17. Sproston J P and Strauss D, Sums of subalgebras of C(X), J. London Math. Soc. 2(45) (1992) 265-278
18. Štepán J, Simplicial measures and sets of uniqueness in the marginal problem, in: Statistics and decision 11 (München: R Oldenbourg Verlag) (1993) pp. 289-299
19. Sternfeld Y, Uniformly separating families of functions, Israel J. Math. 29 (1978) 61-91
20. Sternfeld Y, Uniform separation of points and measures and representation by sums of algebras, Israel J. Math. 55 (1986) 350-362