How Long to Read Notes on Forcing Axioms

By Stevo Todorcevic

How Long Does it Take to Read Notes on Forcing Axioms?

It takes the average reader 4 hours and 1 minute to read Notes on Forcing Axioms by Stevo Todorcevic

Assuming a reading speed of 250 words per minute. Learn more

Description

In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach–Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths. Contents:Baire Category Theorem and the Baire Category NumbersCoding Sets by the Real NumbersConsequences in Descriptive Set TheoryConsequences in Measure TheoryVariations on the Souslin HypothesisThe S-Spaces and the L-SpacesThe Side-condition MethodIdeal DichotomiesCoherent and Lipschitz TreesApplications to the S-Space Problem and the von Neumann ProblemBiorthogonal SystemsStructure of Compact SpacesRamsey Theory on OrdinalsFive Cofinal TypesFive Linear OrderingsCardinal Arithmetic and mmReflection PrinciplesAppendices:Basic NotionsPreserving Stationary SetsHistorical and Other Comments Readership: Graduate students and researchers in logic, set theory and related fields. Key Features:This is a first systematic exposition of the unified approach for building proper, semi-proper, and stationary preserving forcing notions through the method of using elementary submodels as side conditionsThe books starts from the classical applications of Martin's axioms and ends with some of the most sophisticated applications of the Proper Forcing Axioms. In this way, the reader is led into a natural process of understanding the combinatorics hidden behind the methodKeywords:Set Theory;Forcing Axioms

How long is Notes on Forcing Axioms?

Notes on Forcing Axioms by Stevo Todorcevic is 236 pages long, and a total of 60,416 words.

This makes it 80% the length of the average book. It also has 74% more words than the average book.

How Long Does it Take to Read Notes on Forcing Axioms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 30 minutes to read Notes on Forcing Axioms aloud.

What Reading Level is Notes on Forcing Axioms?

Notes on Forcing Axioms is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Notes on Forcing Axioms?

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