en 1answer
Rafael Vergnaud's questions - English 1answer
40 questions.
Questions
Answers
An embedding of the line in a plane.
1
1
answers,
0
favourites,
28
views
real-analysis
general-topology
If $f$ is continuous then $G_f \subset M \times \mathbb{R}$ is closed.
1
answers,
0
favourites,
26
views
real-analysis
general-topology
proof-verification
Intersection of sequence of compact non empty sets has a similar diameter to the elements in the sequence?
2
answers,
0
favourites,
24
views
real-analysis
general-topology
For nonempty sets $A \subset M, B \subset N$, if $A \times B$ is compact, then $A$ and $B$ are compact.
1
3
answers,
0
favourites,
56
views
real-analysis
sequences-and-series
general-topology
proof-verification
compactness
Uniformly continuous Extension functions and limit points.
1
answers,
0
favourites,
27
views
real-analysis
general-topology
continuity
uniform-continuity
Short proof verification using inheritance principle.
1
answers,
0
favourites,
18
views
general-topology
proof-verification
The Euclidean metric satisfies triangle inequality in cross product of two metric spaces $X$ and $Y.$ [duplicate]
1
1
answers,
1
favourites,
30
views
real-analysis
general-topology
metric-spaces
Is this short proof ambiguous? Prove $\partial \partial S \subset \partial S.$
2
answers,
0
favourites,
57
views
real-analysis
general-topology
proof-verification
Perfect sets: squaring rudin's definition of “limit point” with that of another book's.
1
2
answers,
0
favourites,
45
views
real-analysis
general-topology
In a metric space $(M,d)$, any Cauchy sequence $\{a_n\}_{n \in \mathbb{N}}$ in $M$ is convergent?
2
0
answers,
0
favourites,
41
views
real-analysis
metric-spaces
Consider a two-point set $M = \{a,b\}$ whose topology consists of the two sets, $M$ and the empty set.
2
answers,
0
favourites,
44
views
real-analysis
proof-verification
A Singleton in a metric space is closed.
2
1
answers,
0
favourites,
63
views
real-analysis
metric-spaces
Consider a monotone nondecreasing function $f$ on a closed interval $[a,b].$ Show that it…
1
1
answers,
0
favourites,
30
views
proof-verification
DNA Test: Probability question — matter of interpretation?
2
2
answers,
1
favourites,
172
views
probability
probability-theory
bayes-theorem
Is $|P(\mathbb{N})| = |\mathbb{R}|$? [duplicate]
1
answers,
0
favourites,
36
views
real-analysis
elementary-set-theory
real-numbers
Does there exist an anti chain of powers of the natural numbers that is uncountable? [duplicate]
1
0
answers,
0
favourites,
40
views
elementary-set-theory
natural-numbers
Produce an infinite collection of sets $A_1, A_2, A_3,…$ with the property that [duplicate]
5
answers,
1
favourites,
199
views
real-analysis
elementary-set-theory
natural-numbers
A sequence of closed bounded (not necessarily nested) intervals $I_1, I_2, I_3,…$ with the property that
2
answers,
0
favourites,
151
views
real-analysis
elementary-set-theory
Why cannot induction be employed to show that a countably infinite collection of countable sets is countable? [duplicate]
0
answers,
0
favourites,
61
views
elementary-set-theory
induction
Countability and intersection of sets.
2
answers,
0
favourites,
36
views
real-analysis
elementary-set-theory
The open $(0,1) \times (0,1)$ square invectively mapped *into* the interval $(0,1)$
2
answers,
0
favourites,
63
views
real-analysis
general-topology
elementary-set-theory
real-numbers
open-map
An example of an uncountable collection of disjoint open intervals? Possible?
1
answers,
0
favourites,
99
views
real-analysis
elementary-set-theory
real-numbers
Arranging $\mathbb N$ into a two-dimensional array to prove a countably infinite collection of countable sets is countable.
1
1
answers,
0
favourites,
49
views
elementary-set-theory
infinity
natural-numbers
Contradiction in Abbott's Understanding Analysis or my confusion?
1
1
answers,
1
favourites,
81
views
real-analysis
analysis
upper-lower-bounds
Expected gender distribution
1
answers,
1
favourites,
64
views
probability
sequences-and-series
combinatorics
expectation
Kernel of a polynomial p is invariant under a function: how is this possible?
2
answers,
0
favourites,
64
views
linear-algebra
Notation? q(A), where A is a matrix
1
answers,
0
favourites,
27
views
linear-algebra
abstract-algebra
Rank of Matrix and dimension of the image of the function corresponding with that matrix
1
answers,
1
favourites,
59
views
linear-algebra
matrices
vector-spaces
linear-transformations
eigenvector of compositions implies eigenvector of respective functions in composition?
3
2
answers,
2
favourites,
51
views
linear-algebra
matrices
eigenvalues-eigenvectors
linear-transformations
eigenfunctions
Pascal's triangle.
1
2
answers,
0
favourites,
39
views
combinatorics
binomial-coefficients
1
2
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