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: Whitney conditions | Statement: [Whitney stratification, relatedConcept, Whitney conditions]

Target entity: Whitney conditions
Context triple: [Whitney stratification, relatedConcept, Whitney conditions]

• A. Whitney stratification
  Whitney stratification is a method in differential topology for decomposing singular spaces into smoothly compatible manifolds (strata) that fit together under specific regularity conditions, enabling rigorous analysis of singularities.
• B. Whitney approximation theorem
  The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
• C. Weierstrass preparation theorem
  The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
• D. Whitney sum
  The Whitney sum is a construction in differential topology that combines two vector bundles over the same base space into a new vector bundle whose fibers are direct sums of the original fibers.
• E. Whitney
  Whitney is an unincorporated community and census-designated place in the Las Vegas Valley of Clark County, Nevada.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Whitney conditions
Triple: [Whitney stratification, relatedConcept, Whitney conditions]

Whitney conditions are geometric regularity criteria that ensure smooth, well-behaved interactions between strata in a stratified space, particularly in singularity theory and differential topology.

Target entity: Whitney conditions
Target entity description: Whitney conditions are geometric regularity criteria that ensure smooth, well-behaved interactions between strata in a stratified space, particularly in singularity theory and differential topology.

• A. Whitney stratification chosen
  Whitney stratification is a method in differential topology for decomposing singular spaces into smoothly compatible manifolds (strata) that fit together under specific regularity conditions, enabling rigorous analysis of singularities.
• B. Whitney approximation theorem
  The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
• C. Weierstrass preparation theorem
  The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
• D. Whitney sum
  The Whitney sum is a construction in differential topology that combines two vector bundles over the same base space into a new vector bundle whose fibers are direct sums of the original fibers.
• E. Whitney
  Whitney is an unincorporated community and census-designated place in the Las Vegas Valley of Clark County, Nevada.
• F. None of above.