The Horizontal Direction

We give a survey of cardinal charcteristics of the higher Cichoń diagram defined on the higher Baire space ${}^{\kappa }\kappa$ for $\kappa$ regular with $2^{<\kappa }=\kappa$. Specifically, we will compare consistency proofs from the classical Cichoń diagram with various well-known forcing notions to similar constructions generalised to the higher Cichoń diagram. We are especially interested in separation in a horizontal direction, that is, the consistency of $\mathrm{a}\mathrm{d}\mathrm{d}({\mathcal{M}}_{\kappa })<\mathrm{n}\mathrm{o}\mathrm{n}({\mathcal{M}}_{\kappa })$ and of $\mathrm{c}\mathrm{o}\mathrm{v}({\mathcal{M}}_{\kappa })<\mathrm{c}\mathrm{o}\mathrm{f}({\mathcal{M}}_{\kappa })$. We will have a look at (higher analogues of) Cohen, Hechler, localisation, eventually different, Sacks, random, Laver, Mathias and Miller forcing, and their effect on the cardinal characteristics of the higher Cichoń diagram.