homotopyType

P78390

predicate

Indicates that two topological spaces or maps share the same homotopy type, meaning they can be continuously deformed into one another up to homotopy.

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All labels observed (1)

Label	Occurrences
homotopyType canonical	2

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction

Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'

Input

Predicate: homotopyType

Generated description

Indicates that two topological spaces or maps share the same homotopy type, meaning they can be continuously deformed into one another up to homotopy.

Sample triples (2)

Subject	Object
rotation group SO(3) surface form: SO(3)	real projective 3-space RP³ ⓘ
Riemann sphere	2-sphere S^2 ⓘ