Adnadjević, D. Bicompactness of bitopological. (Russian) Zbl 0584.54026 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 143, 19-25 (1985). If \({\mathcal U}_ i\) is a cover of a topological space \((X,\tau_ i)\), \(i=1,2\), then \({\mathcal U}_ 1\cup {\mathcal U}_ 2\) is called a bicover of the bitopological space \((X,\tau_ 1,\tau_ 2)\). \(\tau_ 1\tau_ 2\)- open cover is a cover \({\mathcal C}\subset \tau_ 1\cup \tau_ 2\). A bitopological space is called bicompact if each of its becovers contains a finite \(\tau_ 1\tau_ 2\)-open cover. The analogues of classical statements on compact spaces are proved or disproved for bicompact bitopological spaces. Reviewer: J.Reiterman Cited in 1 Review MSC: 54E55 Bitopologies 54D30 Compactness PDFBibTeX XMLCite \textit{D. Adnadjević}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 143, 19--25 (1985; Zbl 0584.54026)