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isotopy是什么意思，isotopy翻译
Isotopy: The Concept and Its Applications
What is isotopy?
Isotopy is a concept in mathematics that deals with the continuous transformation of one figure into another figure. It is a branch of topology that studies the properties of figures that remain unchanged under continuous transformations. Isotopy is similar to isometry, but while isometry preserves the shape and size of a figure, isotopy allows for deformations that change the shape but maintain the connectivity and other topological properties.
The history of isotopy
The concept of isotopy was first introduced by the American mathematician John Milnor in 1958. He defined the concept in his paper on knots and began the study of isotopy in topology. Since then, isotopy has become an important concept in various areas of mathematics, including geometry, topology, and algebraic topology.
Applications of isotopy
Isotopy has found applications in various fields, including physics, engineering, and computer science. One of the most well