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New posts in examples-counterexamples
Does $f$ have a critical point if $f(x, y) \to +\infty$ on all horizontal lines and $f(x, y) \to -\infty$ on all vertical lines?
real-analysis
calculus
multivariable-calculus
examples-counterexamples
maxima-minima
Example of Intersection of Pure Subgroup which is not Pure
group-theory
examples-counterexamples
abelian-groups
Counterexample for the Open Mapping Theorem
functional-analysis
examples-counterexamples
Can intersection of two manifolds be $xy=0$
manifolds
examples-counterexamples
Examples of comma categories
category-theory
examples-counterexamples
$X = [0,1]^{[0,1]}$ with different topologies [closed]
general-topology
metric-spaces
examples-counterexamples
Integrability: Neither improper Riemann nor Lebesgue but Henstock-Kurzweil
real-analysis
integration
examples-counterexamples
gauge-integral
Every minimal Hausdorff space is H-closed
general-topology
examples-counterexamples
separation-axioms
Is $\mathbb{C}^*$ modulo the roots of unity isomorphic to $\mathbb{R}^+$?
group-theory
complex-numbers
examples-counterexamples
Homeomorphism between Space and Product: $X \cong X \times X$
general-topology
algebraic-topology
examples-counterexamples
topological-groups
product-space
Example of topological spaces where sequential continuity does not imply continuity
general-topology
continuity
examples-counterexamples
give a counterexample of monoid
abstract-algebra
group-theory
examples-counterexamples
semigroups
monoid
Can monics always be "made left-invertible" by adding arrows?
category-theory
examples-counterexamples
Example of an uncountable dense set with measure zero
real-analysis
measure-theory
examples-counterexamples
Does an abelian subgroup inject into the abelianisation of the whole group? [closed]
group-theory
examples-counterexamples
abelian-groups
Examples of bounded linear operators with range not closed
functional-analysis
operator-theory
examples-counterexamples
Cantor curve is not absolutely continuous
examples-counterexamples
absolute-continuity
Examples for proof of geometric vs. algebraic multiplicity
linear-algebra
intuition
eigenvalues-eigenvectors
examples-counterexamples
Difference between being faithful and being injective on arrows
category-theory
definition
examples-counterexamples
Connected and Compact preserving function is not continuous example?
general-topology
compactness
examples-counterexamples
connectedness
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