Correction

In my note (V. P. Platonov, “On certain classes of topological groups”), printed in DAN, vol. 158, no. 4, 1964, in Lemma 1, instead of \(H = Z_G(G_0)\) it should read \(H = Z_G(G_0)G_0\).

In my note (V. P. Platonov, “The structure of periodic linear groups and algebraic groups”), printed in DAN, vol. 160, no. 3, 1965, the last assertion of Theorem 7 should be formulated as follows:

The simple components \(S\), up to a local isomorphism, can only be of type \(I_1 = SL(2, R)\).

V. P. Platonov

Letter to the Editors

In my article (A. Lelek, “On the dimension of remainders in compact extensions”), published in DAN, vol. 160, no. 3, 1965, an incorrect definition of the quantity \(\operatorname{Com} X\) was given. Following de Groot, it is defined analogously to the way in which the large inductive dimension \(\operatorname{Ind} X\) is defined, with the only difference that the induction begins with the number 0 in the statements, and that the inequality \(\operatorname{Com} X \leq 0\) is equivalent to the property of the space \(X\) being peripherally bicompact. Therefore one can prove only that \(\operatorname{Com} X \leq \operatorname{def} X\). Nevertheless, Theorem 2 and its proof are valid without any changes (neither the inequality \(\operatorname{Com} X \leq \operatorname{def} X\) nor the inequality \(\operatorname{def} X \leq \operatorname{Com} X\) is needed). A proof of analogues of Corollaries 2.1 and 2.2 under certain additional conditions will be given in another article by the author, being prepared for Doklady AN SSSR.

A. Lelek