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General-topology
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How do I calculate the Jacobian matrix of the transformation of a 1-m manifold to a chart (topology question)?
August 1st, 2022
general-topology
matrices
Show Open/Closed for a Set and two continuous functions
December 4th, 2020
general-topology
metric-spaces
continuity
Easy question about compactly contained sets
November 24th, 2020
compactness
general-topology
Metric on function space for Pointwise Convergence
August 1st, 2022
general-topology
real-analysis
convergence-divergence
metric-spaces
sequence-of-function
Prove that the distance between a disjoint compact set and closed set is nonzero.
March 4th, 2020
analysis
general-topology
Prove that $\mathbb{Z}$ is a closed subset of $\mathbb{R}$
January 29th, 2020
general-topology
Separability of the Set of Bounded Functions over [0,1]
January 22nd, 2020
functional-analysis
metric-spaces
analysis
general-topology
real-analysis
Open interval $(a,b)$ is open in $\mathbb R$ but not open in $\mathbb R^2$ and $[a,c) (a<c<b)$ open in $[a,b)$ but nor open or closed in $\mathbb R$
August 1st, 2022
general-topology
Prove that the set $[0,1)$ is a closed set in the half-open interval topology of $\mathbb{R}$.
April 14th, 2020
proof-writing
general-topology
The closure of $(0,1)$ in the lower-limit topology on $\mathbb{R}$
July 17th, 2020
sorgenfrey-line
general-topology
Prerequisites for learning general topology
August 1st, 2022
reference-request
book-recommendation
general-topology
Show any open interval is a half open set?
November 28th, 2020
general-topology
proof-writing
Topology, continuous indicator function
September 7th, 2020
general-topology
Continuous and non-continuous functions in topology
December 7th, 2020
general-topology
Every open set as union of closed sets
November 29th, 2020
metric-spaces
general-topology
Prove that $int(A) = (cl(A^c))^c$
January 3rd, 2020
general-topology
Can we say a convex cone is a closed set without further proof?
June 10th, 2020
convex-analysis
general-topology
real-analysis
Sum of LSC functions also LSC function
July 6th, 2020
proof-verification
real-analysis
general-topology
Euler characteristic of the projective plane (using embedding diagram)
August 1st, 2022
general-topology
algebraic-topology
projective-space
Show that $\{1/n:n∈N\}∪\{0\}$ is compact
August 1st, 2022
proof-verification
general-topology
real-analysis
In the co-finite topology and the co-countable topology, must $X$ be finite or countable?
August 1st, 2022
proof-verification
general-topology
Consider $Y = [-1,1]$ as a subspace of $\mathbb{R}$. Which of the sets below are open in $Y$? Which are open in $\mathbb{R}$?
July 10th, 2021
general-topology
Partition of unity subordinate to an open cover
October 13th, 2020
general-topology
Proving [a,b) is first countable but not second countable
December 27th, 2020
general-topology
generalized-topology
Proof feedback - Proving infinite intersections of compact sets is compact.
October 7th, 2020
general-topology
Quadratic equations greater than zero, then we have at most one real root
December 31st, 2020
general-topology
quadratics
Using balls to prove if a set is open or closed
February 1st, 2020
general-topology
analysis
Show that $(0,1]$ is open in $[0,1]$ but $(0,1]$ is not open in $\mathbb{R}$
August 31st, 2022
general-topology
Question about proof that euclidean metric and square metric are the product topology
January 15th, 2020
elementary-set-theory
product-space
general-topology
metric-spaces
Why is only one of the three descriptions possible? (Understanding Analysis Exercise 3.2.10)
August 15th, 2022
real-analysis
general-topology
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