separated sets | OMG { Maths }

Theorem 3 : Connectedness

Given : {An} is sequence of non-empty connected subsets. to prove : union of sequence of connected subsets is...

Given : Intersection of family of connected sets is non-empty. to prove : union of family of connected sets is...

Given : Intersection of family of connected sets is non-empty. to prove : union of family of connected sets is...

Connectedness | Connected sets theorems | Real Analysis | Metric Space | topology connectedness and compactness...

Given : Let E be a subset of metric space x. If every two elements of E are Contained in some Connected subset of E to...

Let E be a subset of metric space x. If every two elements of E are Contained in some Connected subset of E, then E is...