Sh:448

• Goldstern, M., & Shelah, S. (1993). Many simple cardinal invariants. Arch. Math. Logic, 32(3), 203–221. arXiv: math/9205208 DOI: 10.1007/BF01375552 MR: 1201650
• Abstract:
  For g < f in \omega^\omega we define c(f,g) be the least number of uniform trees with g-splitting needed to cover a uniform tree with f-splitting. We show that we can simultaneously force \aleph_1 many different values for different functions (f,g). In the language of Blass: There may be \aleph_1 many distinct uniform \bf\Pi^0_1 characteristics.
• Version 1993-08-29_10 (20p) published version (19p)

@article{Sh:448,
 author = {Goldstern, Martin and Shelah, Saharon},
 title = {{Many simple cardinal invariants}},
 journal = {Arch. Math. Logic},
 fjournal = {Archive for Mathematical Logic},
 volume = {32},
 number = {3},
 year = {1993},
 pages = {203--221},
 issn = {0933-5846},
 mrnumber = {1201650},
 mrclass = {03E05 (03E35 04A15)},
 doi = {10.1007/BF01375552},
 note = {\href{https://arxiv.org/abs/math/9205208}{arXiv: math/9205208}},
 arxiv_number = {math/9205208}
}