Abstract
The operation of the topological product of topological spaces exhibits more clearly than anything else the superiority of “true” compactness over countable compactness, pseudocompactness and other properties of compactness type. Compactness is preserved under formation of the product without any restrictions on the cardinality of the family of factors and their separation properties, while other properties of compactness type can be destroyed already by the operation of the product of two spaces or even by the operation of topological squaring.
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© 1996 Springer-Verlag Berlin Heidelberg
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Arhangel’skii, A.V. (1996). Compactness and Products. In: Arhangel’skii, A.V. (eds) General Topology II. Encyclopaedia of Mathematical Sciences, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77030-2_3
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DOI: https://doi.org/10.1007/978-3-642-77030-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77032-6
Online ISBN: 978-3-642-77030-2
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