extension vs stretching

extension and stretching both are nouns.

Word	Noun	Adjective	Verb	Adverb
extension	Yes	No	No	No
stretching	Yes	No	No	No

As nouns, stretching is a hypernym of extension; that is, stretching is a word with a broader meaning than extension:

extension (noun)	stretching (noun)
an educational opportunity provided by colleges and universities to people who are not enrolled as regular students	exercise designed to extend the limbs and muscles to their full extent
act of stretching or straightening out a flexed limb	act of expanding by lengthening or widening
act of expanding in scope; making more widely available
an addition that extends a main building
an addition to the length of something
an additional telephone set that is connected to the same telephone line
amount or degree or range to which something extends
the ability to raise the working leg high in the air
the most direct or specific meaning of a word or expression; the class of objects that an expression refers to
a string of characters beginning with a period and followed by one or more letters; the optional second part of a PC computer filename
the spreading of something (a belief or practice) into new regions
a mutually agreed delay in the date set for the completion of a job or payment of a debt