Sh:571

• Cummings, J., Džamonja, M., & Shelah, S. (1995). A consistency result on weak reflection. Fund. Math., 148(1), 91–100. arXiv: math/9504221 DOI: 10.4064/fm-148-1-91-100 MR: 1354940
• Abstract:
  In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say \theta strongly non-reflects at \lambda iff there is a function F:\theta\longrightarrow\lambda such that for all \alpha<\theta with cf(\alpha)=\lambda there is C club in \alpha such that F\restriction C is strictly increasing. We prove that it is consistent to have a cardinal \theta such that strong non-reflection and weak reflection each hold on an unbounded set of cardinals less than \theta.
• Version 1995-04-18_10 (14p) published version (10p)

@article{Sh:571,
 author = {Cummings, James and D{\v{z}}amonja, Mirna and Shelah, Saharon},
 title = {{A consistency result on weak reflection}},
 journal = {Fund. Math.},
 fjournal = {Fundamenta Mathematicae},
 volume = {148},
 number = {1},
 year = {1995},
 pages = {91--100},
 issn = {0016-2736},
 mrnumber = {1354940},
 mrclass = {03E35 (03E55)},
 doi = {10.4064/fm-148-1-91-100},
 note = {\href{https://arxiv.org/abs/math/9504221}{arXiv: math/9504221}},
 arxiv_number = {math/9504221}
}