Geodesic
Applications of the side condition method
Zbornik radova, Tome 22 (2025) no. 30, p. 511

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DOI

Stevo Todorčević introduced a general approach to constructing proper forcing notions, so called the side condition method. This method is powerful and is widely used. This article summarizes some techniques of the side condition method, specifically, forcing notions for the Open Coloring Axiom, the P-ideal Dichotomy, the failures of $\Box(\kappa)$ and Weak Club Guessing.
DOI : 10.64191/zr24040410116
Classification : 03E35, 03E50, 03E17
Keywords: side condition method, the proper forcing axiom, the $\in$-collapse, strong properness, Y-properness, the open coloring axiom, the P-ideal Dichotomy, ideal-based forcings, $\Box(\kappa)$, the mapping reflection principle, weak club guessing 
Teruyuki Yorioka. Applications of the side condition method. Zbornik radova, Tome 22 (2025) no. 30, p. 511 . doi: 10.64191/zr24040410116
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     title = {Applications of the side condition method},
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     doi = {10.64191/zr24040410116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.64191/zr24040410116/}
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