Interface TopologicalSpace<T>

All Superinterfaces:
Set<T>
All Known Subinterfaces:
MetricSpace<T>, SpacetimeMetric
All Known Implementing Classes:
IntervalND, KerrMetric, Point2D, Point3D, PointND, SchwarzschildMetric, Vector2D, Vector3D, Vector4D, VectorND
public interface TopologicalSpace<T> extends Set<T>
Represents a topological space.

A topological space is a set equipped with a topology, which defines which subsets are considered "open".

Since:
1.0
Author:
Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

  • Method Summary

    Modifier and Type
    Method
    Description
    boolean
    containsPoint(T point)
    Checks if this space contains the given point.
    boolean
    isClosed()
    Checks if this set is closed in the topology.
    boolean
    isOpen()
    Checks if this set is open in the topology.

    Methods inherited from interface Set

    contains, description, isEmpty

  • Method Details

    • containsPoint

      boolean containsPoint(T point)
      Checks if this space contains the given point.

      Named containsPoint to avoid erasure conflict with Set.contains.

      Parameters:
      point - the point to check
      Returns:
      true if the point is in this space

    • isOpen

      boolean isOpen()
      Checks if this set is open in the topology.
      Returns:
      true if this is an open set

    • isClosed

      boolean isClosed()
      Checks if this set is closed in the topology.
      Returns:
      true if this is a closed set