Using finite support iteration of ccc partial orders we provide a model of 𝔟 = κ < 𝔰 = κ⁺ for κ an arbitrary regular, uncountable cardinal.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-3-5, author = {Vera Fischer and Juris Stepr\=ans}, title = {The consistency of b = k and s = k+}, journal = {Fundamenta Mathematicae}, volume = {201}, year = {2008}, pages = {283-293}, zbl = {1161.03029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-3-5} }
Vera Fischer; Juris Steprāns. The consistency of 𝔟 = κ and 𝔰 = κ⁺. Fundamenta Mathematicae, Tome 201 (2008) pp. 283-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-3-5/