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Differential Geometry | Topology
A space
d(X,T)
is called a discrete topological space if every subset of X is _________
d(X,T)
is called a discrete topological space if every subset of X is _________
Differential Geometry | Topology
Find a Peano Curve which fills out the unit square in E^2
Differential Geometry | Topology
What is basis of usual topology?
Differential Geometry | Topology
Consider the connected sum of a Klein bottle and a 5-fold dunce cap. What is the fundamental group of the result?
Differential Geometry | Topology
Let U and V be open dense subsets of X. Prove that U intersection V is also dense in X.
Differential Geometry | Topology
Prove that intersection of two dense subset is again a dense subset?
Differential Geometry | Topology
Show that the set S={{x}│x∈X} being a sub base generates a discrete topology on any set X
Differential Geometry | Topology
Suppose that A⊂B⊂X and A is dense in closure of B and B is dense in X.
Then A is also dense in X.
Then A is also dense in X.
Differential Geometry | Topology
Prove that intersection of two dense subsets is again dense subset
Differential Geometry | Topology
Every singleton subset of C is a basis of C over C.
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#340153 on Dec 2023
#340153 on Dec 2023