① / التاريخ Show that for any collection of topalgies onx the exist a unique Smallest to Plogy larger that each member of the collection. letxe anon empty set and F be 9 family of subsets of x such that FIXE F Fz: F1, F2 EF then FIUF₂ EF F3: FA EF Sorany Jε Athen A{FEAZGF Show that exists a unique to Pology - for x such that I-closed of subsets of X are Precisely the member of F.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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①
/
التاريخ
Show that for any collection of
topalgies onx the exist a unique
Smallest to Plogy larger that each
member of the collection.
letxe anon empty set and F be
9 family of subsets of x such that
FIXE F
Fz: F1, F2 EF then FIUF₂ EF
F3: FA EF Sorany Jε Athen
A{FEAZGF
Show that exists a unique to Pology
- for x such that I-closed of
subsets of X are Precisely the
member of F.
Transcribed Image Text:① / التاريخ Show that for any collection of topalgies onx the exist a unique Smallest to Plogy larger that each member of the collection. letxe anon empty set and F be 9 family of subsets of x such that FIXE F Fz: F1, F2 EF then FIUF₂ EF F3: FA EF Sorany Jε Athen A{FEAZGF Show that exists a unique to Pology - for x such that I-closed of subsets of X are Precisely the member of F.
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