# Sh:400a

• Shelah, S. (1992). Cardinal arithmetic for skeptics. Bull. Amer. Math. Soc. (N.S.), 26(2), 197–210.
• Abstract:
We present a survey of some results of the pcf-theory and their applications to cardinal arithmetic. We review basics notions (in §1), briefly look at history in §2 (and some personal history in §3). We present main results on pcf in §5 and describe applications to cardinal arithmetic in §6. The limitations on independence proofs are discussed in §7, and in §8 we discuss the status of two axioms that arise in the new setting. Applications to other areas are found in §9.
• published version (14p)
Bib entry
@article{Sh:400a,
author = {Shelah, Saharon},
title = {{Cardinal arithmetic for skeptics}},
journal = {Bull. Amer. Math. Soc. (N.S.)},
fjournal = {American Mathematical Society. Bulletin. New Series},
volume = {26},
number = {2},
year = {1992},
pages = {197--210},
issn = {0273-0979},
doi = {10.1090/S0273-0979-1992-00261-6},
mrclass = {03E05 (03E10 03E35 04A10 06E05 08A05 20A15 54A25)},
mrnumber = {1112424},
mrreviewer = {James Baumgartner},
doi = {10.1090/S0273-0979-1992-00261-6},
note = {\href{https://arxiv.org/abs/math/9201251}{arXiv: math/9201251}},
arxiv_number = {math/9201251}
}