Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Menger universal curve | Statement: [Menger sponge, hasAlternativeName, Menger universal curve]

Target entity: Menger universal curve
Context triple: [Menger sponge, hasAlternativeName, Menger universal curve]

• A. Peano curve
  The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
• B. Jordan curve theorem
  The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
• C. Menger curvature
  Menger curvature is a geometric concept that quantifies the curvature of a set or curve in metric spaces by using the reciprocal of the radius of the circle passing through three points.
• D. Menger sponge chosen
  The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
• E. Smale’s paradox
  Smale’s paradox is a result in differential topology showing that a sphere can be turned inside out in three-dimensional space through smooth deformations without tearing or creasing, challenging intuitive notions of geometry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.