BONNET ROBERT

ROBERT BONNET

Professeur Emerite



Informations diverses

Thèmes de Recherche

Ordered algebraic structures, Infinite combinatorics, Topology and Set
theory.

Publications

[42] Hasson, Assaf; Bonnet, Robert: In memoriam: Mati Rubin 1946-2017. Bull. Symb. Log. 24, no 2, (2018), pp. 181-185.
[41] Bonnet, Robert; Leiderman, Arkady: Countable successor ordinals as generalized ordered topological spaces. Topology Appl. 241, (2018), pp. 197-202.
[40] Abraham, Uri; Bonnet, Robert; Cummings, James; Dzamonja, Mirna; Thompson, Katherine: A scattering of orders. Trans. Amer. Math. Soc. 364 no. 12, (2012), pp. 6259-6278.
[39] Bonnet, Robert; Rubin, Matatyahu: A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras. Topology Appl. 158 no. 13, (2011), pp. 1503-1525.
[38] Bonnet, Robert; Faouzi, Latifa; Kubiś, Wiesław: Free Boolean algebras over unions of two well orderings. Topology Appl. 156 no. 7, (2009), pp. 1177-1185.
[37] Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław: Poset algebras over well quasi-ordered posets. Algebra Universalis 58 no. 3, (2008), pp. 263-286.
[36] Bonnet, Robert; Rubin, Matatyahu: A classification of CO spaces which are continuous images of compact ordered spaces. Topology Appl. 155 no 5, (2008) pp. 375-411.
[35] Bonnet, Robert; Rubin, Matatyahu: Chains of well-generated Boolean algebras whose union is not well-generated. Israel J. Math. 154 no 1-3, (2006) pp. 141-155.
[34] Bonnet, R.; Rubin, M.: A note on well-generated Boolean algebras in models satisfying Martin's axiom. Discrete Math. 291 no 1-3, (2005) pp. 7-18.
[33] Bonnet, Robert; Rubin, Matatyahu: On poset Boolean algebras of scattered posets with finite width. Arch. Math. Logic 43 no 4, (2004) pp. 467-476.
[32] Abraham, Uri; Bonnet, Robert; Kubiś, Wiesław; Rubin, Matatyahu: On poset Boolean algebras (2003). Order 20 no 3, (2004) pp. 265-290.
[31] Rubin, Matatyahu; Bonnet, Robert: On a poset algebra which is hereditarily but not canonically well generated. Israel J. Math. 135 (2003), pp. 299-326.
[30] Bonnet, Robert; Rubin, Matatyahu: On essentially low, canonically well-generated Boolean algebras. J. Symbolic Logic 67, no. 1, (2002), 369–396.
[29] Abraham, Uri; Rubin, Matatyahu; Bonnet, Robert: On a superatomic Boolean algebra which is not generated by a well-founded sublattice. Israel J. Math. 123 (2001), pp. 221-239.
[28] Bonnet, Robert; Rubin, Matatyahu: On well-generated Boolean algebras. Ann. Pure Appl. Logic 105 105 no 1-3, 1999, pp. 1-50.
[27] Abraham, Uri; Bonnet, Robert: Hausdorff's theorem for posets that satisfy the finite antichain property. Fund. Math. 159 no 1, 1999, pp. 51-69.
[26] Bonnet, Robert: On superatomic Boolean algebras. Finite and infinite combinatorics in sets and logic (Banff, AB, 1991), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 411, Kluwer Acad. Publ., Dordrecht, 1993, pp. pp. 31-62.
[25] Bonnet, Robert; Shelah, Saharon: On HCO spaces. An uncountable compact T2 space, different from $\aleph_1 + 1$ which is homeomorphic to each of its uncountable closed subspaces. Israel J. Math. 84 no. 3 (1993), pp.289-332.
[24] Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I. Order 9 no. 2, (1992), pp. 177-200.
[23] Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu: Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I. Order 9 no. 1, (1992), pp. 69-95.
[22] Abraham, Uri; Bonnet, Robert: Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra. Proc. Amer. Math. Soc. 115(no. 3), (1992)), pp. 585-592.
[21] Bonnet, Robert; Rubin, Matatyahu: Elementary embedding between countable Boolean algebras. J. Symbolic Logic 56(no. 4), (1991), pp. 1212-1229.
[20] Bonnet, R.; Duffus, D.; Woodrow, R. E.: Coloring chains. Order 6(no. 1) (1989), pp. 69-89.
[19] Bekkali, Mohamed; Bonnet, Robert: Rigid Boolean algebras. Handbook of Boolean algebras, Vol. 2, North-Holland, Amsterdam, 1989. pp. 637–678.
[18] Bonnet, Robert: Subalgebras. Handbook of Boolean algebras, Vol. 2, North-Holland, Amsterdam, 1989 pp. 389-416.
[17] Bonnet, Robert; Si-Kaddour, Hamza: Comparison of Boolean algebras. Order, 4(no 3), (1987), pp. 273-283.
[16] Bekkali, Mohamed; Bonnet, Robert: On Fodor's theorem: a topological version. Special volume on ordered sets and their applications (L'Arbresle, 1982). Discrete Math., 53 (1985), pp. 3-19.
[15] Bonnet, Robert; Shelah, Saharon: Narrow Boolean algebras. Ann. Pure Appl. Logic, 28(no. 1), (1985), pp. 1-12.
[14] Bonnet, Robert: On homomorphism types of superatomic interval Boolean algebras. Models and sets (Aachen, 1983), Lecture Notes in Math., 1103, Springer, Berlin, 1984. pp. 67-81.
[13] Bonnet, R.; Pouzet, M.: Linear extensions of ordered sets. Ordered sets (Banff, Alta., 1981), NATO Adv. Study Inst. Ser. C: Math. Phys. Sci., 83, Reidel, Dordrecht-Boston, Mass. (1982). pp. 125-170,
[12] Bonnet, R.: Very strongly rigid Boolean algebras, continuum discrete set condition, countable antichain condition. I. Algebra Universalis, 11 no. 3, (1980), pp. 341-364 (1981).
[11] Bonnet, R.: Sur le type d'isomorphie d'algèbres de Boole dispersées. (French) Colloque International de Logique (Clermont-Ferrand, 1975), Colloques Internat. CNRS, Paris, 249. CNRS, Paris, 1977, pp. 107-122.
[10] Bonnet, Robert: Problems in Boolean algebras. (French) Annales scientifiques de l’Université de Clermont-Ferrand 2. 13 (1) (1976), p. 75.
[9] Bonnet, R.: On the cardinality of the set of initial intervals of a partially ordered set. Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Colloq. Math. Soc. János Bolyai, Vol. 1(Vol. 1), North-Holland, Amsterdam, 1975 pp. 189-198.
[8] Bonnet, Robert; Erdős, Paul: The chromatic index of an infinite complete hypergraph: a partition theorem. Hypergraph Seminar (Proc. First Working Sem., Ohio State Univ., Columbus, Ohio 1972; dedicated to Arnold Ross), Lecture Notes in Math., Vol 411, Springer, Berlin, 1974, pp. 54–60.
[7] Bonnet, R.: Theoremes de partitions, axiome de determination et theorie des jeux. (French) Publ. Econometriques Lyon 6 (1973), pp. 12-22.
[6] Bonnet, Robert; Corominas, Ernest; Pouzet, Maurice: Simplification pour la multiplication ordinale. (French) C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A221-A224.
[5] Bonnet, Robert; Corominas, Ernest; Pouzet, Maurice: Simplification pour la multiplication ordinale. (French) C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A221-A224.
[4] Bonnet, Robert: Chaînes de Ramsey. (French) C. R. Acad. Sci. Paris Sér. A-B 274 (1972), pp. 605-606
[3] Bonnet, Robert: Catégorie et α-catégorie des ensembles ordonnés. (French) Publ. Dép. Math. (Lyon) 8 (1971), no. 1, pp. 69-90.
[2] Extension et stratification des genres de chaines denombrables (French), C. R. Acad. Sci. Paris Sér 269 A 274 (1972), pp. 1512-1515.
[1] Bonnet, Robert; Pouzet, Maurice: Extension et stratification d'ensembles dispersés. (French), C. R. Acad. Sci. Paris Sér. 268 A (1972), pp. 1512-1515.


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