ENGLISH

Descriptive Set Theory and Forcing: How to prove theorems about Borel sets the hard way

By Arnold Miller

Book information

Publisher
Springer
Year
1995
ISBN
3540600590, 9783540600596
LCC
QA248 .M5113 1995
Language
english
Format
PDF
Filesize
9 MB (8952566 bytes)
Series
Lecture Notes in Logic 4
Edition
1
Pages
140\140
Topic
Education
Orientation
no
Scanned
yes
Time added
2010-10-13 10:14:08

Description

An advanced graduate course. Some knowledge of forcing is assumed, and some elementary Mathematical Logic, e.g. the Lowenheim-Skolem Theorem. A student with one semester of mathematical logic and 1 of set theory should be prepared to read these notes. The first half deals with the general area of Borel hierarchies. What are the possible lengths of a Borel hierarchy in a separable metric space? Lebesgue showed that in an uncountable complete separable metric space the Borel hierarchy has uncountably many distinct levels, but for incomplete spaces the answer is independent. The second half includes Harrington's Theorem - it is consistent to have sets on the second level of the projective hierarchy of arbitrary size less than the continuum and a proof and appl- ications of Louveau's Theorem on hyperprojective parameters.

Similar books

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

2010 · PDF

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

1858 · PDF

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

2022 · PDF