# Sh:571

• Cummings, J., Džamonja, M., & Shelah, S. (1995). A consistency result on weak reflection. Fund. Math., 148(1), 91–100.
• 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)
Bib entry
@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}
}