Type Theory and Homotopy
نویسنده
چکیده
The purpose of this informal survey article is to introduce the reader to a new and surprising connection between Geometry, Algebra, and Logic, which has recently come to light in the form of an interpretation of the constructive type theory of Per Martin-Löf into homotopy theory, resulting in new examples of certain algebraic structures which are important in topology. This connection was discovered quite recently, and various aspects of it are now under active investigation by several researchers. (See [AW09, AHW09, War08, BG09, GG08, Garar, GvdB08, Lum09, BG10, Voe06].)
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تاریخ انتشار 2012