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New posts in examples-counterexamples
$f$ bounded but $f'$ isn't
complex-analysis
analysis
examples-counterexamples
Can the product of three complex numbers ever be real?
complex-numbers
examples-counterexamples
real-numbers
What's so cool about local compactness?
general-topology
soft-question
algebraic-number-theory
examples-counterexamples
topological-groups
What are some examples of hard theorems in category theory?
soft-question
category-theory
examples-counterexamples
big-list
Examples of closed subspaces of Baire spaces that fail to be Baire?
general-topology
examples-counterexamples
baire-category
Weird subfields of $\Bbb{R}$
abstract-algebra
measure-theory
field-theory
examples-counterexamples
Hausdorff Quasi-Polish spaces
general-topology
examples-counterexamples
descriptive-set-theory
polish-spaces
An example of a space which fails to be compactly generated
general-topology
examples-counterexamples
Nonpiecewise Function Defined at a Point but Not Continuous There
calculus
limits
functions
continuity
examples-counterexamples
Is there a group $G$ and subgroup $H$, such that there exists $g\in G$ with $gHg^{-1} \subset H$ and $|H:gHg^{-1}|$ is infinite?
abstract-algebra
group-theory
examples-counterexamples
infinite-groups
Is the property "being a derivative" preserved under multiplication and composition?
real-analysis
examples-counterexamples
Example of a Markov chain transition matrix that is not diagonalizable?
linear-algebra
examples-counterexamples
markov-chains
Example of non-homeomorphic compact spaces $K_1$ and $K_2$ such that $K_1\oplus K_1$ is homeomorphic to $K_2\oplus K_2$
general-topology
examples-counterexamples
Function in $H^1$, but not continuous
functional-analysis
functions
sobolev-spaces
examples-counterexamples
Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)
general-topology
examples-counterexamples
connectedness
separation-axioms
Easy to understand examples of category theoretic theorems that are useful
soft-question
category-theory
examples-counterexamples
big-list
Famous uses of the inclusion-exclusion principle?
combinatorics
big-list
examples-counterexamples
inclusion-exclusion
A free submodule of a free module having greater rank the submodule
commutative-algebra
modules
examples-counterexamples
Looking for a counter example for non-connected intersection of descending chain of closed connected sets
general-topology
examples-counterexamples
connectedness
Nonhomeomorphic subsets of the plane
general-topology
compactness
examples-counterexamples
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