Math Theorems

Random Science or famous Quiz

Can you name the the following famous mathematical theorems?

Quiz not verified by Sporcle

How to Play
Challenge
Share
Tweet
Embed
Score 0/25 Timer 05:00
StatementTheoremField
x^n+y^n=z^n has no integer solutions for n>2Number Theory
The fundamental group of a union of path-connected spaces sharing a basepoint is given by the free product of the fundamental groups of the individual spaces.Algebraic Topoloy
ker f -> ker g -> ker h -> coker f -> coker g -> coker h is exactAlgebra
For an integrable function, the integral over a closed interval is equal to the difference of the antiderivtive evaluated at the endpointsCalculus
If every chain has a maximal element, then there exists a maximal element for the posetMath Foundations
The order of a subgroup divides the order of the group in finite groupsAlgebra
Every bounded entire function is constant.Complex Analysis
The product of any number of compact spaces is compact.Topology
Every number has a unique decomposition into prime factorsNumber Theory
Every nonconstant real polynomial has a complex root.Algebra/Complex Analysis
Every map D^n->D^n has a fixed point.Algebraic Topology
A Sphere is equidecomposable with two disjoint spheres.Set-Theoretic Geometry
There is a bijective correspondence between the subfield of a field extension and teh subgroups of the associated Galois group.Algebra
StatementTheoremField
Every contraction between metric spaces has a fixed point.Analysis
If f is an analytic complex function and $/gamma$ is a closed, rectifiable path homologous to 0, then the integral of f over $/gamma$ is 0Complex Analysis
Nonconstant analytic maps map open sets to open sets.Complex Analysis
For three compact compact subspaces of R^3, there is a single plane that bisects all three compact subsets.Algebraic Topology
Every finitely generated abelian group is isomorphic to a unique direct product of cyclic groups.Algebra
Every finite group has at least one p-group for every prime p dividing the order of the groupAlgebra
An infinite collection of first-order sentences has a model iff every finite subset of it has a modelLogic
Every bounded sequence has a convergent subsequence.Analysis
A subset of R^n is compact iff it is closed and boundedAnalysis
For any group homomorphism f:G->H, G/ker f is isomorphic to im f.Algebra
For sets A and B, if there are injective maps A->B and B->A, then A and B have the same cardinality.Set Theory
Every complete metric space is a Baire space, and every locally compact Hausdorff space is a Baire SpaceTopology/Functional Analysis

You're not logged in!

Compare scores with friends on all Sporcle quizzes.
Sign Up with Email
OR
Log In

You Might Also Like...

Show Comments

Extras


Your Account Isn't Verified!

In order to create a playlist on Sporcle, you need to verify the email address you used during registration. Go to your Sporcle Settings to finish the process.