Finding the Local Maxima of a Constant Function

zuriat2244 · 2010-06-21T15:50:25+00:00

Does a constant function have a local maximum?

Thread 'Injective immersion and embedding'

Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...

View full post »

Thread 'Injective immersion and embedding'

Similar threads

Hot Threads

I ##C^{\infty}##-module of smooth vector fields can lack a basis

I Get geodesics & parallel transport on 2D surfaces (discrete timestep)

I Differential structures over a topological manifold

I Round 3-sphere symmetries as subspace of 4D Euclidean space

I Compact manifold cannot be represented by (single) parametric equation

Recent Insights

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers

Insights Fermat's Last Theorem