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Differential Geometry | Topology
Prove that every first countable space is second countable
Differential Geometry | Topology
Determine all topologies on a set X ={a,b,c}
Differential Geometry | Topology
Let X be a infinite set with cofinite topology .prove that any bijection from X to X is a homeomorphism
Differential Geometry | Topology
Prove that the inverse of a.homeomorphism is also a.homeomorphism
Differential Geometry | Topology
Prove that a function f from a metric space X to a metric space Y is continuous if and only if the inverse image of any open subset of Y is open in X
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.
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#340153 on Dec 2023
#340153 on Dec 2023