The relative consistency of some consequences of the existence of measurable cardinal numbers

K. A. Bowen

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1972

Abstract

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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

How to cite

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K. A. Bowen. The relative consistency of some consequences of the existence of measurable cardinal numbers. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1972. <http://eudml.org/doc/268470>.

@book{K1972,
abstract = {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},
author = {K. A. Bowen},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {The relative consistency of some consequences of the existence of measurable cardinal numbers},
url = {http://eudml.org/doc/268470},
year = {1972},
}

TY - BOOK
AU - K. A. Bowen
TI - The relative consistency of some consequences of the existence of measurable cardinal numbers
PY - 1972
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
UR - http://eudml.org/doc/268470
ER -

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