Abstract
This chapter is devoted, primarily, to constructing homomorphisms or, equivalently, continuous mappings of Stone spaces. The following extension problem is central here: Let X0 be a subalgebra of a Boolean algebra X and let Φ0 be a homomorphism from X0 into a Boolean algebra Y. Does Φ0 admit an extension to a homomorphism Φ from X into Y?
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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Homomorphisms. In: Boolean Algebras in Analysis. Mathematics and Its Applications, vol 540. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0936-1_6
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DOI: https://doi.org/10.1007/978-94-017-0936-1_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5961-1
Online ISBN: 978-94-017-0936-1
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