## Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces.(English)Zbl 0194.54801

### MSC:

 54E45 Compact (locally compact) metric spaces 54F50 Topological spaces of dimension $$\leq 1$$; curves, dendrites

topology
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### References:

 [1] Paul R. Halmos, Lectures on Boolean algebras, Van Nostrand Mathematical Studies, No. 1, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. · Zbl 0114.01603 [2] F. Hausdorff, Mengenlehre, Leipzig, 1927. · JFM 53.0169.01 [3] R. D. Mayer and R. S. Pierce, Boolean algebras with ordered bases, Pacific J. Math. 10 (1960), 925 – 942. · Zbl 0097.02003 [4] W. Sierpiński, Une généralisation des théorèmes de S. Mazurkiewicz et F. Bagemihl, Fund. Math. 40 (1953), 1 – 2 (French). · Zbl 0052.04803 [5] Richard S. Pierce, Introduction to the theory of abstract algebras, Holt, Rinehart and Winston, New York-Montreal, Que.-London, 1968.
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