This type of sum is an operation performed on two manifolds by removing a ball from eachmanifold and gluing their boundaries together. Before the removal of the dispersion point one-halfcomma one-half, the KnasterÂ–Kuratowski fan possesses this property. The topologist's sine curve is atextbook example of a space with this property that does not possess this property locally. Acomponent of a topological space is a maximal subset with this property. Spaces with trivialfundamental groups are called "simply, [this property]". A topological space has this property if itcontains no proper, nontrivial subsets that are both open and closed. For 10 points, name this property
This type of sum is an operation performed on two manifolds by removing a ball from eachmanifold and gluing their boundaries together. Before the removal of the dispersion point one-halfcomma one-half, the KnasterÂ–Kuratowski fan possesses this property. The topologist's sine curve is atextbook example of a space with this property that does not possess this property locally. Acomponent of a topological space is a maximal subset with this property. Spaces with trivialfundamental groups are called "simply, [this property]". A topological space has this property if itcontains no proper, nontrivial subsets that are both open and closed. For 10 points, name this propertythat a graph has if there is a path between every two vertices.
This type of sum is an operation performed on two manifolds by removing a ball from eachmanifold and gluing their boundaries together.