Quite complete real closed fields (Q1881744)

The paper deals with ``symmetric closures'' of linearly ordered fields. A cut \((A,B)\) in a linearly ordered field \(K\) is called {symmetric} if the cofinality of \(A\) equals the coinitiality of \(B.\) A real closed field is called {symmetrically complete} if it has no symmetric cuts. The main result of the paper is: Theorem 1.1. Let \(K\) be an arbitrary ordered field. Then there is a symmetrically complete real closed field containing \(K.\) It seems that the author is not familiar with the notion of symmetric cut and results of the reviewer pertaining to it [cf. Sib. Mat. Zh. 42, No. 6, 1350--1360 (2001; Zbl 0998.12011)].