Title:
|
On the lattice of subalgebras of a Boolean algebra (English) |
Author:
|
Rao, K. P. Bhaskara |
Author:
|
Rao, M. Bhaskara |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
29 |
Issue:
|
4 |
Year:
|
1979 |
Pages:
|
530-545 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
06E99 |
idZBL:
|
Zbl 0496.06010 |
idMR:
|
MR548215 |
DOI:
|
10.21136/CMJ.1979.101634 |
. |
Date available:
|
2008-06-09T14:36:01Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101634 |
. |
Reference:
|
[1] L. Gillman, M. Jerison: Rings of continuous functions.Van Nostrand, London, 1960. Zbl 0093.30001, MR 0116199 |
Reference:
|
[2] P. R. Halmos: Lectures on Boolean algebras.Van Nostrand, London, 1967. MR 0167440 |
Reference:
|
[3] A. lonescu Tulcea, C. lonescu Tulcea: Topics in the theory of lifting.Springer-Verlag, New York, 1969. MR 0276438 |
Reference:
|
[4] J. L. Kelley: General Topology.Van Nostrand, London, 1955. Zbl 0066.16604, MR 0070144 |
Reference:
|
[5] K. Kuratowski: Topology, Volume 1.Academic Press, New York, 1966. MR 0217750 |
Reference:
|
[6] D. Maharam: On a theorem of von Neumann.Proc. Amer. Math. Soc., 9 (1958), pp. 987-994. MR 0105479, 10.1090/S0002-9939-1958-0105479-6 |
Reference:
|
[7] J. Von Neumann, M. H. Stone: The determination of representative elements in the residual classes of a Boolean algebra.Fund. Math., 25 (1935), pp. 353 - 376. Zbl 0012.24403, 10.4064/fm-25-1-353-378 |
Reference:
|
[8] J. С. Oxtoby: Measure and Category.Springer-Verlag, New York, 1970. MR 0584443 |
Reference:
|
[9] K. P. S. Bhaskara Rao, M. Bhaskara Rao: Borel $\sigma$-algebra on [0, $\Omega$].Manuscripta Mathematica, 5 (1971), pp. 195-198. MR 0293038, 10.1007/BF01443252 |
Reference:
|
[10] K. P. S. Bhaskara Rao, M. Bhaskara Rao: A note on the countable chain condition and sigma-finiteness of measures.Bull. Austral. Math. Soc., 6 (1972), pp. 349-353. MR 0310165, 10.1017/S0004972700044610 |
Reference:
|
[11] B. V. Rao: Lattice of Borel Structures.Coll. Math., 23 (1971), pp. 213 - 216. Zbl 0328.28001, MR 0322121, 10.4064/cm-23-2-213-216 |
Reference:
|
[12] H. Sarbadhikari, K. P. S. Bhaskara Rao: Complementation in the lattice of Borel structures.to appear in Coll. Math. Zbl 0285.04003 |
Reference:
|
[13] W. Sierpiński: Cardinal and Ordinal numbers.PWN, Warsaw, 1958. MR 0095787 |
Reference:
|
[14] R. Sikorski: Boolean algebras.Third Edition, Springer-Verlag, New York, 1969. Zbl 0191.31505, MR 0242724 |
. |