“…The following example is appeared in [1,Example 2.10] to show that the property of having only non-weak cut points is not a Whitney reversible property. By the same example, we see that colocal connectedness is not a Whitney reversible property.…”
Section: A Whitney Property and A Whitney Reversible Propertymentioning
We show that each refinable map preserves colocal connectedness of the domain while a proximately refinable map does not necessarily. Also, we prove that colocal connectedness is a Whitney property and is not a Whitney reversible property.
“…The following example is appeared in [1,Example 2.10] to show that the property of having only non-weak cut points is not a Whitney reversible property. By the same example, we see that colocal connectedness is not a Whitney reversible property.…”
Section: A Whitney Property and A Whitney Reversible Propertymentioning
We show that each refinable map preserves colocal connectedness of the domain while a proximately refinable map does not necessarily. Also, we prove that colocal connectedness is a Whitney property and is not a Whitney reversible property.
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