Cardinal invariants on Boolean algebras (Q5902233)

This is a reprint of the 1996 edition. Thus all what J. Roitman wrote in her review of that edition (see Zbl 0849.03038) remains valid. She also reviewed the 1990 edition of an earlier version of the same work, see [Cardinal functions on Boolean algebras. Lectures in Mathematics, ETH Zürich. Basel etc.: Birkhäuser Verlag (1990; Zbl 0706.06009)]. I recommend to check those reviews. In addition I can say that this book has gained readers due to two main aspects: the book is well written and the topic of it has become more important in recent years. As J. Roitman says, ``its encyclopedic nature and coherent organization stimulated research in the field''. The author comments in his update (available at \url{http://math.colorado.edu/~monkd/}) on the state of the open problems as follows: ``At this time, the problems fully solved are: 2, 4, 10, 12, 16, 18, 20, 22, 24, 34, 35, 36, 41, 42, 46, 47, 48, 51, 52, 55, 56, 60, 62, 76, 80, 92; those partially solved are: 1, 8, 11, 13, 14, 21, 25, 26, 27, 32, 33, 37, 45, 50, 54, 73, 77, 78, 79, 81, 93; still open in the form given in the book are: 3, 5, 6, 7, 9, 15, 17, 19, 23, 28, 29, 30, 31, 38, 39, 40, 43, 44, 49, 53, 57, 58, 59, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 82, 83, 84 91, 94 97. Among those which are still unsolved, or partially unsolved, progress on the following may be possible without too much difficulty: 5, 7, 8, 9, 11, 13, 14, 21, 23, 29, 30, 31, 32, 33, 37, 39, 43, 44, 45, 50, 54, 64, 68, 69, 70, 71, 72, 73, 74, 77, 78, 81, 84, 86, 90, 93, 94 97.''