%0 Journal Article %T Small scattered topological invariants %A V. Chatyrko %A Ya. Hattori %J Matematychni Studii %D 2013 %I Lviv Mathematical Society, VNTL Publishers %X We present a unified approach to define dimension functionslike $ rind$, $ rind_p$, $ rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily disconnected ones are introduced. Weprove a compactification theorem for these classes. %K small transfinite inductive dimension %K separation dimension %K countable-dimensional spaces %K ¦Ò -hereditarily disconnected spaces %U http://matstud.org.ua/texts/2013/39_2/212-222.pdf