# 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. - No downloadable versions available.

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}, doi = {10.4064/fm-148-1-91-100}, mrclass = {03E35 (03E55)}, mrnumber = {1354940}, mrreviewer = {A. Kanamori}, doi = {10.4064/fm-148-1-91-100}, note = {\href{https://arxiv.org/abs/math/9504221}{arXiv: math/9504221}}, arxiv_number = {math/9504221} }