# Sh:746

- Larson, P. B., & Shelah, S. (2003).
*Bounding by canonical functions, with CH*. J. Math. Log.,**3**(2), 193–215. arXiv: math/0011187 DOI: 10.1142/S021906130300025X MR: 2030084 -
Abstract:

We show that that a certain class of semi-proper iterations does not add \omega-sequences. As a result, starting from suitable large cardinals one can obtain a model in which the Continuum Hypothesis holds and every function from \omega_{1} to \omega_{1} is bounded by a canonical function on a club, and so \omega_{1} is the \omega_{2}-nd canonical function. - published version (23p)

Bib entry

@article{Sh:746, author = {Larson, Paul B. and Shelah, Saharon}, title = {{Bounding by canonical functions, with CH}}, journal = {J. Math. Log.}, fjournal = {Journal of Mathematical Logic}, volume = {3}, number = {2}, year = {2003}, pages = {193--215}, issn = {0219-0613}, doi = {10.1142/S021906130300025X}, mrclass = {03E50 (03E35 03E55)}, mrnumber = {2030084}, mrreviewer = {A. Kanamori}, doi = {10.1142/S021906130300025X}, note = {\href{https://arxiv.org/abs/math/0011187}{arXiv: math/0011187}}, arxiv_number = {math/0011187} }