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What is homotopy in mathematics?

This article is about topology. For chemistry, see Homotopic groups.The two bold paths shown above are homotopic relative to their endpoints. Thin lines mark isocontours of one possible homotopy.In topology, two continuous functions from one topological space to another are called homotopic (Greek homos = identical and topos = place) if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions. An outstanding use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology. In practice, there are technical difficulties in using homotopies with certain pathological spaces. Consequently most algebraic topologists work with compactly generated spaces, CW complexes, or spectra.


The measure of the space inside a two-dimensional figure is called?

That's called the figure's area.That's called the figure's area.That's called the figure's area.That's called the figure's area.


What is the name of a shape with 2 pairs off right angles?

That's called a parallelogram.That's called a parallelogram.That's called a parallelogram.That's called a parallelogram.


What is a 7 sided shape in Canada called?

it is called a seven sided shape in Canada


What are the first eight polygons called?

A polygon with 3 sides is called triangle A polygon with 4 sides is called quadrilateral A polygon with 5 sides is called pentagon A polygon with 6 sides is called hexagon A polygon with 7 sides is called heptagon A polygon with 8 sides is called octagon