Class of all finite unions of sets of the form A×B
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Topology
Sets and Functions (XLIII)
Functions
Let X and Y be non-empty sets and let A and B be rings of subsets of X and Y respectively.
Show that the class of all finite unions of sets of the form A×B with A belongs to the family set A and B belongs to the family set B is a ring
of subsets of X×Y.
See the attached file.
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Solution Summary
This solution is comprised of a detailed explanation of the properties of the products of sets.
It contains step-by-step explanation of the following problem:
Let X and Y be non-empty sets and let A and B be rings of subsets of X and Y respectively.
Show that the class of all finite unions of sets of the form A×B with A belongs to the family set A and B belongs to the family set B is a
ring of subsets of X×Y.
Solution Preview
Topology
Sets and Functions (XLIII)
...
Education
- BSc, Manipur University
- MSc, Kanpur University
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