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Questions Tagged with "metric spaces" (Page 2)

Explore solved questions tagged with "metric spaces" or help others by answering their unsolved questions related to "metric spaces".

Uniform distance from a discontinuous function is continuous

1 answer

MathOverflow Asked 2 years ago by Zorn's Llama

In infinite dimensions, is it possible that convergence of distances to a sequence always implies convergence of that sequence?

2 answer

Mathematics Asked 3 years ago by Nikhil Sahoo

Why is $[1,2]$ relatively open in $[1,2] cup [3,4]$?

1 answer

Mathematics Asked 3 years ago

Why in Cantor's Intersection Theorem the infinite intersection must contain only one point?

1 answer

Mathematics Asked 3 years ago by Krishan

The frontier of a set

1 answer

Mathematics Asked 3 years ago by Gal Ben Ayun

Every Closed Set In $R^1$ is intersection of countable collection of open set.

2 answer

Mathematics Asked 3 years ago by idon'tknow

Can any norm be used in a product metric

2 answer

Mathematics Asked 3 years ago by Zachary Hunter

Is $z$ a point on the line $[x,y]={tx+(1-t)y: tin[0,1]}$?

1 answer

Mathematics Asked 3 years ago by Luis Prado

Let $X$ be a metric space without isolated points. Then the closure of a discrete set in $X$ is nowhere dense in $X$.

3 answer

Mathematics Asked 3 years ago by TuringTester69

If X can be topologically embedded in a metric space Y how would one define the metric on X?

1 answer

Mathematics Asked 3 years ago by Leonid

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