caa a22 4500 388039914 CHVBK 20180307125018.0 cr unu---uuuuu 161130e199809 xx s 000 0 eng 10.2307/2586730 doi S0022481200014778 pii (NATIONALLICENCE)cambridge-10.2307/2586730 Villaveces Andrés Mathematics Institute, Hebrew University, 91904 Jerusalem, Israel Departamento de Matematicas, Universidad Nacional, Bogota, Columbia E-mail: villavec@matematicas.unal.edu.co Chains of end elementary extensions of models of set theory [Elektronische Daten] [Andrés Villaveces] Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large cardinals obtained in this fashion (‘unfoldable cardinals') lie in the boundary of the propositions consistent with ‘V = L' and the existence of 0#. We also provide an ‘embedding characterisation' of the unfoldable cardinals and study their preservation and destruction by various forcing constructions. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/3(1998-09), 1116-1136 0022-4812 63:3<1116 1998 63 JSL https://doi.org/10.2307/2586730 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586730 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Villaveces Andrés Mathematics Institute, Hebrew University, 91904 Jerusalem, Israel Departamento de Matematicas, Universidad Nacional, Bogota, Columbia E-mail: villavec@matematicas.unal.edu.co NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/3(1998-09), 1116-1136 0022-4812 63:3<1116 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge