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General-topology
New post in General-topology
Revisit "Prove that the inverse image of an open set is open"
January 17th, 2023
continuity
general-topology
real-analysis
Why do we need topology and what are examples of real-life applications?
November 3rd, 2022
general-topology
the $\sigma$ algeba generated by the class of open intervals with rational end points coincide with the borel $\sigma$ algebra on the real line.
September 29th, 2022
general-topology
abstract-algebra
real-analysis
measure-theory
lebesgue-measure
Prove that intersection of connected spaces is connceted.
July 30th, 2022
general-topology
connectedness
Locally compact in $\mathbb{R}^n$ and Hausdorff spaces
August 1st, 2022
geometry
geometric-topology
general-topology
Prove Uncountable set minus a countable set is uncountable
August 1st, 2022
general-topology
When is the union of a closed set and a open set open?
February 17th, 2022
general-topology
Does a continuous function preserve Hausdorff or metrizable properties?
December 7th, 2020
general-topology
’Stereographic projection’
January 26th, 2020
general-topology
Is every point of rational number boundary point?
January 25th, 2020
multivariable-calculus
general-topology
elementary-set-theory
Prove $f(x)=1/x$ is Borel measurable
April 11th, 2020
general-topology
measure-theory
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
September 10th, 2020
general-topology
How to show $R_l$ is Lindelof space?
April 12th, 2020
general-topology
constant function is continuous
November 17th, 2020
general-topology
Continuous function: $ Z=${$x \in \mathbb{R} : f(x) = 0$} is closed
November 8th, 2020
general-topology
real-analysis
Why is every continuous function on the reals determined by its value on rationals?
August 1st, 2022
real-analysis
general-topology
Prove that int$(A) = \overline{[X-A]}$ where $[X - A]$ is the closure and the bar represents the complement.
August 16th, 2020
general-topology
Explicit homeomorphism between triangle and square
May 10th, 2020
general-topology
show a set is connected
February 23rd, 2020
general-topology
connectedness
Half-line - open or closed set
May 30th, 2020
general-topology
Compact Connected Set in $R^2$ and Connected Component
September 6th, 2020
general-topology
Limit point of a set (Real Analysis)
August 1st, 2022
general-topology
real-analysis
Describe how to obtain a sphere in $\mathbb R^3$ as a quotient of a closed disk in $\mathbb R^2$
March 17th, 2020
general-topology
Question regarding infinite subsets of R and accumulation points
August 1st, 2022
general-topology
Proving that the set of real numbers is a topological space.
August 1st, 2022
general-topology
Accumulation point is a limit of some sequences in first-countable space with Axiom of Choice.
August 1st, 2022
general-topology
sequences-and-series
axiom-of-choice
Is there a countable basis for the finite complement topology on the natural numbers?
August 1st, 2022
general-topology
Can someone please explain to me why the set {1, 1/2, 1, 1/3, 1, 1/4, ...} has two points of accumulation?
August 1st, 2022
general-topology
real-analysis
Nested sequence intersection is empty
August 1st, 2022
elementary-set-theory
general-topology
Example of discrete set
February 3rd, 2020
order-theory
general-topology
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