Differential Geometry | Topology Answers

Give an example of seperable Hausdroff space which has a non seperable subspace

Prove that seperability is a topological property

Prove that the unit n-cube Iⁿ is a compact subset of Rⁿ

State and prove Gluing lemma

Prove that the fixed point property is a topological invariant

If Y is a connected subspace of a space X ,then prove that Y closure is connected

Let X be a connected space and f:X to Y a continuous function from X onto a space Y .prove that Y is connected

Find the unit tangent vector at the point 2,0,pi for a curve which is described by the parametric equations

x=2Sina y=3cosa z=2a