Copies of monomorphic structures

References

[1] Balcar, B.—Pelant, J.—Simon, P.: The space of ultrafilters on ℕ covered by nowhere dense sets, Fund. Math. 110(1) (1980), 11–24.10.4064/fm-110-1-11-24Suche in Google Scholar

[2] Balcar, B.—Simon, P.: Disjoint refinement. In: Handbook of Boolean algebras, Vol. 2 (J. D. Monk, R. Bonnet, eds.), North-Holland, Amsterdam, 1989, pp. 333–388.Suche in Google Scholar

[3] Baumgartner, J. E.: All ℵ₁-dense sets of reals can be isomorphic, Fund. Math. 79(2) (1973), 101–106.10.4064/fm-79-2-101-106Suche in Google Scholar

[4] Dushnik, B.—Miller, E. W.: Concerning similarity transformations of linearly ordered sets, Bull. Amer. Math. Soc. 46 (1940), 322–326.10.1090/S0002-9904-1940-07213-1Suche in Google Scholar

[5] Fraïssé, R.: Theory of Relations. Stud. Log. Found. Math., Vol. 145 (revised edition, with an appendix by Norbert Sauer), North-Holland, Amsterdam, 2000.Suche in Google Scholar

[6] Frasnay, C.: Quelques problémes combinatoires concernant les ordres totaux et les relations monomorphes, Ann. Inst. Fourier (Grenoble) 15(2) (1965), 415–524.10.5802/aif.220Suche in Google Scholar

[7] Gibson, P. C.—Pouzet, M.—Woodrow, R. E.: Relational structures having finitely many full-cardinality restrictions, Discrete Math. 291(1–3) (2005), 115–134.10.1016/j.disc.2004.04.024Suche in Google Scholar

[8] Hodges, W.—Lachlan, A. H.—Shelah, S.: Possible orderings of an indiscernible sequence, Bull. London Math. Soc. 9(2) (1977), 212–215.10.1112/blms/9.2.212Suche in Google Scholar

[9] Kechris, A. S.: Classical Descriptive Set Theory. Grad. Texts Math., Vol. 156, Springer-Verlag, 1995.10.1007/978-1-4612-4190-4Suche in Google Scholar

[10] Kojman, M.—Shelah, S.: Fallen cardinals, Dedicated to Petr Vopěnka, Ann. Pure Appl. Logic 109(1–2) (2001), 117–129.10.1016/S0168-0072(01)00045-8Suche in Google Scholar

[11] Kunen, K.: Set Theory. An Introduction to Independence Proofs. Stud. Logic Found. Math., Vol. 102, North-Holland Publishing Co., Amsterdam-New York, 1980.Suche in Google Scholar

[12] Kurilić, M. S.: From A₁ to D₅ towards a forcing-related classification of relational structures, J. Symb. Log. 79(1) (2014), 279–295.10.1017/jsl.2013.26Suche in Google Scholar

[13] Kurilić, M. S.: Posets of copies of countable scattered linear orders, Ann. Pure Appl. Logic 165(3) (2014), 895–912.10.1016/j.apal.2013.11.005Suche in Google Scholar

[14] Kurilić, M. S.: Forcing with copies of countable ordinals, Proc. Amer. Math. Soc. 143(4) (2015), 1771–1784.10.1090/S0002-9939-2014-12360-4Suche in Google Scholar

[15] Kurilić, M. S.: Different similarities, Arch. Math. Logic 54(7–8) (2015), 839–859.10.1007/s00153-015-0443-xSuche in Google Scholar

[16] Kurilić, M. S.: Vaught’s conjecture for monomorphic theories, Ann. Pure Appl. Logic 170(8) (2019), 910–920.10.1016/j.apal.2019.04.012Suche in Google Scholar

[17] Kurilić, M. S.: Iterated reduced powers of collapsing algebras, Ann. Pure Appl. Logic 176(6) (2025), Art. No. 103567.10.1016/j.apal.2025.103567Suche in Google Scholar

[18] Kurilić, M. S.: Forcing with copies of uncountable ordinals, https://arxiv.org/pdf/2401.00302.Suche in Google Scholar

[19] Kurilić, M. S.—Todorčević, S.: Forcing by non-scattered sets, Ann. Pure Appl. Logic 163 (2012), 1299–1308.10.1016/j.apal.2012.02.004Suche in Google Scholar

[20] Laflamme, C.—Pouzet, M.—Woodrow, R.: Equimorphy: the case of chains, Arch. Math. Logic 56(7–8) (2017), 811–829.10.1007/s00153-017-0545-8Suche in Google Scholar

[21] Laver, R.: On Fraïssé’s order type conjecture, Ann. of Math. 93(2) (1971), 89–111.10.2307/1970754Suche in Google Scholar

[22] Moore, J. T.: A five element basis for the uncountable linear orders, Ann. of Math. (2) 163(2) (2006), 669–688.10.4007/annals.2006.163.669Suche in Google Scholar

[23] Pouzet, M.: Application de la notion de relation presque-enchaînable au dénombrement des restrictions finies d’une relation, Z. Math. Logik Grundlagen Math. 27(4) (1981), 289–332.10.1002/malq.19810271902Suche in Google Scholar

[24] Rosenstein, J. G.: Linear Orderings. Pure Appl. Math., Vol. 98, Academic Press, Inc. Harcourt Brace Jovanovich Publishers, New York-London, 1982.Suche in Google Scholar

[25] Shelah, S.: Power set modulo small, the singular of uncountable cofinality, J. Symbolic Logic 72(1) (2007), 226–242.10.2178/jsl/1174668393Suche in Google Scholar

[26] Sierpiński, W.: Cardinal and Ordinal Numbers. 2nd revised edition, Monografie Matematyczne, Vol. 34, Panstwowe Wydawnictwo Naukowe (PWN), Warsaw, 1965.Suche in Google Scholar

[27] Simon, P.: Sacks forcing collapses c to b, Comment. Math. Univ. Carolin. 34(4) (1993), 707–710.10.1016/0196-8904(93)90106-KSuche in Google Scholar

[28] Solovay, R. M.: A model of set-theory in which every set of reals is Lebesgue measurable, Ann. of Math. (2) 92 (1970), 1–56.10.2307/1970696Suche in Google Scholar