caa a22 4500 388039175 CHVBK 20180307125016.0 cr unu---uuuuu 161130e199806 xx s 000 0 eng 10.2307/2586853 doi S0022481200015115 pii (NATIONALLICENCE)cambridge-10.2307/2586853 Mildenberger Heike Mathematisches Institut der Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany, E-mail: heike@math.uni-bonn.de Changing cardinal invariants of the reals without changing cardinals or the reals [Elektronische Daten] [Heike Mildenberger] We show: The procedure mentioned in the title is often impossible. It requires at least an inner model with a measurable cardinal. The consistency strength of changing and from a regular κ to some regular δ < κ is a measurable of Mitchell order δ. There is an application to Cichoń's diagram. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/2(1998-06), 593-599 0022-4812 63:2<593 1998 63 JSL https://doi.org/10.2307/2586853 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586853 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mildenberger Heike Mathematisches Institut der Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany, E-mail: heike@math.uni-bonn.de NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/2(1998-06), 593-599 0022-4812 63:2<593 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge