Compact spaces that do not map onto finite products
Antonio Avil\'es
TL;DR
This paper constructs nonseparable compact spaces with the property that any continuous image resembling a finite product has a limited number of nonseparable factors, revealing new structural constraints.
Contribution
It introduces examples of nonseparable compact spaces with specific limitations on their finite product images, advancing understanding of their topological structure.
Findings
Examples of nonseparable compact spaces with restricted product images
Demonstration of limitations on nonseparable factors in continuous images
Insights into the structure of compact spaces without mappings onto certain finite products
Abstract
We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number of nonseparable factors.
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