Homotopía

Homotopía is a concept from mathematics, specifically in topology, that studies the idea of deforming one shape into another without cutting or gluing. Imagine shaping a clay ball and then gradually stretching or bending it into a different form—if you can do this smoothly without tearing, the two shapes are considered homotopic. This concept helps mathematicians understand when two spaces are fundamentally similar in their structure. In essence, homotopía examines whether one shape can be continuously transformed into another, highlighting their intrinsic connectedness and properties.