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arxiv: 1409.4596 · v2 · pith:TOCHGKRNnew · submitted 2014-09-16 · 🧮 math.LO

Why Y-c.c

classification 🧮 math.LO
keywords propertiesanticliquesconditionconsequencesconsistencyforcingforcingsgraphs
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We outline a portfolio of novel iterable properties of c.c.c. and proper forcing notions and study its most important instantiations, Y-c.c. and Y-properness. These properties have interesting consequences for partition-type forcings and anticliques in open graphs. Using Neeman's side condition method it is possible to obtain PFA variations and prove consistency results for them.

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