Supriya Ghosh (Editor)

List of mathematical properties of points

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In mathematics, the following appear:

Contents

  • 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 x ∈ X 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

    • References

    List of mathematical properties of points Wikipedia
    (Text) CC BY-SA


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