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Differential Geometry | Topology
Prove that the subspace.of a complete metric is complete if and only if it is closed
Differential Geometry | Topology
Give an example of two metric on R2 which are equivalent ,substantiate your claim
Differential Geometry | Topology
Prove or disaprove ,The closure of an open vall in a metric space.is the corresponding closed ball
Differential Geometry | Topology
Determine the closed subsets of a.set X with the discrete metric
Differential Geometry | Topology
Give an example of a locally connected space which is not connected substantiate your claim.
Differential Geometry | Topology
Prove that a subspace of a real line with the usual topology is connected if and only if it is an interval
Differential Geometry | Topology
Prove that any open continuous image of a locally connected space is locally connected
Differential Geometry | Topology
Prove that a countable product of connected space is connected
Differential Geometry | Topology
Prove that any set with the cofinite topology is compact
Differential Geometry | Topology
Prove that any collection of subsets of a set X is a sub base for some topology on X
