CONTENTSIntroduction..................................................................................................................................................5I. Topological forcing..................................................................................................................................81.1. Preliminaries.......................................................................................................................................81.2. Languages, satisfaction, and relative constructibility..................................................................101.3. Forcing..................................................................................................................................................151.4. Adding a set of generic sets.............................................................................................................261.5. Adding a proper class of generic sets...........................................................................................261.6. Collapsing cardinals.........................................................................................................................33II. Reflection principles and their consequences................................................................................392.1. Reflection principles..........................................................................................................................392.2. The Tree and Ramsey properties...................................................................................................46III. Application to relative consistency results.......................................................................................503.1. The main result...................................................................................................................................503.2. A converse consistency result..........................................................................................................54References..................................................................................................................................................58
@book{bwmeta1.element.desklight-c39ac9fd-1049-40b7-959a-7b1be7b2f169, author = {K. A. Bowen}, title = {The relative consistency of some consequences of the existence of measurable cardinal numbers}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1972}, zbl = {0278.02046}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-c39ac9fd-1049-40b7-959a-7b1be7b2f169} }
K. A. Bowen. The relative consistency of some consequences of the existence of measurable cardinal numbers. GDML_Books (1972), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-c39ac9fd-1049-40b7-959a-7b1be7b2f169/