Coherent Sequences

Stevo Todorcevic ()
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Stevo Todorcevic: Universite Paris VII – CNRS

Chapter 3 in Handbook of Set Theory, 2010, pp 215-296 from Springer

Abstract: Abstract This is an overview of known characteristics of walks on ordinals along various C-sequences. Whenever possible, we shall relate properties of characteristics with properties of the corresponding C-sequences. For example, we shall expose those characteristics of walks that are easiest to study if one assumes that the corresponding C-sequence is coherent. Another emphasis of this chapter is on applications of the method of ordinal walks to more classical themes of set theory such as, for example, the Tree Property, Chang’s Conjecture, Souslin Hypothesis, Mahlo Hierarchy, etc. The chapter also includes a number of open problems.

Keywords: Regular Cardinal; Force Notion; Stationary Subset; Singular Cardinal; Supercompact Cardinal (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-1-4020-5764-9_4

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