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Constructions and Applications of Rigid Spaces III

Published online by Cambridge University Press:  20 November 2018

V. Kannan  and
M. Rajagopalan
V. Kannan
Affiliation:
Madurai University Madurai 625021, India
M. Rajagopalan
Affiliation:
Madurai University Madurai 625021, India
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One often encounters problems that are difficult as they are, but become manageable when translated to a different category. Thus very often, problems on Boolean algebras are answered by first transferring them to problems on Boolean spaces. (See, for example, [7]). It is with this spirit that we approach in this paper two problems on Boolean algebras. These problems are two decades old, and are considered to be outstanding problems in the field.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 5 , 01 October 1978 , pp. 926 - 932
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Birkhoff, G., Lattice theory (New York, 1945).Google Scholar
2. DeGroot, J., Groups represented by homeomorphism groups I, Math. Ann. 138 (1959), 80–102.Google Scholar
3. DeGroot, J. and McDowell, R. H., Auto-homeomorphism groups of 0-dimensional spaces, Comp. Math. 15 (1963), 203–209.Google Scholar
4. Kannan, V. and Rajagopalan, M., Constructions and applications of rigid spaces I, Advances in Math, (to appear (1978)).Google Scholar
5. Kannan, V. and Rajagopalan, M., Constructions and applications of rigid spaces II, Amer. Math, J., (to appear).Google Scholar
6. Kannan, V. and Rajagopalan, M., On rigidity and groups of homeomorphisms, General Topology and its Relations to Modern Analysis and Algebra III, Proc. of the Third Prague Topological Symp. (1971) 231–234 (Academia Prague; Prague).Google Scholar
7. Katetov, M., Remarks on Boolean algebras, Colloq. Math. 2 (1951), 229–235.Google Scholar
8. Lozier, F. W., A class of compact rigid 0-dimensional spaces, Can. J. Math. 21 (1969), 817–821.Google Scholar
9. Vaidyanathaswamy, R., A treatise on set topology (Chelsea, New York, 1960).Google Scholar