In mathematics, the following appear:
Algebraic point
Associated point
Base point
Closed point
Divisor point
Embedded point
Extreme point
Fermat point
Fixed point
Focal point
Geometric point
Hyperbolic equilibrium point
Ideal point
Inflection point
Integral point
Isolated point
Generic point
Heegner point
Lattice hole, Lattice point
Lebesgue point
Midpoint
Napoleon points
Non-singular point
Normal point
Parshin point
Periodic point
Pinch point
Point (geometry) Point source Rational point Recurrent point Regular point, Regular singular point Saddle point Semistable point Separable point Simple point Singular point of a curve Singular point of an algebraic variety Smooth point Special point Stable point Torsion point Vertex (curve) Weierstrass point
Calculus
Critical point (aka stationary point), any value v in the domain of a differentiable function of any real or complex variable, such that the derivative of v is 0 or undefined
Geometry
Antipodal point, the point diametrically opposite to another point on a sphere, such that a line drawn between them passes through the centre of the sphere and forms a true diameter Conjugate point, any point that can almost be joined to another by a 1-parameter family of geodesics (e.g., the antipodes of a sphere, which are linkable by any meridian Vertex (geometry), a point that describes a corner or intersection of a geometric shape Apex (geometry), the vertex that is in some sense the highest of the figure to which it belongs
Topology
Adherent point, a point x in topological space X such that every open set containing x contains at least one point of a subset A Condensation point, any point p of a subset S of a topological space, such that every open neighbourhood of p contains uncountably many points of S Limit point, a set S in a topological space X is a point x (which is in X, but not necessarily in S) that can be approximated by points of S, since every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself Accumulation point (or cluster point), a point of a sequence (xn)n ∈ N for which there are, for every neighbourhood V of x, infinitely many natural numbers n such that xn ∈ V