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Differential Geometry | Topology
Give an example of metric space in which only triangular inequality not satisfied.
Differential Geometry | Topology
let X={1,2,3}. The topology of X is the induced topology from the usual topology on the real line. Consider the product space X * [a,b], where a,b are real numbers. My question is classify all open sets and closed sets of X*[a,b]. what about 1*[a,b], is it open set?
thank you in advance
thank you in advance
Differential Geometry | Topology
Let X={a,b,c,d} with the topology T={ ϕ,{a},{a,b},{a,b,c,d}}. Find all the homeomorphism f:X->X and jastify that your list is exhaustive.?
Differential Geometry | Topology
Let X = {1,2,3} and a function N on X given by N(1) = {1,2},{1,2,3} , N(2) = {2,3},{1,2,3} , N(3) = {2,3},{1,2,3} .
(a) Prove that N does not define a neighbourhood topology on X. (b) Add a minimal number of neighbourhoods to the above definition of N to indeed obtain a neighbourhood topology, called ˜ N.
(a) Prove that N does not define a neighbourhood topology on X. (b) Add a minimal number of neighbourhoods to the above definition of N to indeed obtain a neighbourhood topology, called ˜ N.
Differential Geometry | Topology
what is poincare conjecture and this prove
Differential Geometry | Topology
Dear Expert how will we show that a coffee cup is homeomorphic to doughnut .f any approach please explain.
Differential Geometry | Topology
Expert sir if a topology is neither discrete nor indiscrete is called what?by which name we represent a topology that is neither discrete nor indiscrete?
Differential Geometry | Topology
find the limit points and closure of z and Q in R.best regards
Differential Geometry | Topology
sir a problem facing
can a set not have limit points
can a set not have limit points
Differential Geometry | Topology
Dear Expert sir what is a a topological property
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