# 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. - published version (19p)

Bib entry

@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}, doi = {10.1007/BF01375552}, mrclass = {03E05 (03E35 04A15)}, mrnumber = {1201650}, mrreviewer = {Eva Butkovi\v{c}ov\'a}, doi = {10.1007/BF01375552}, note = {\href{https://arxiv.org/abs/math/9205208}{arXiv: math/9205208}}, arxiv_number = {math/9205208} }