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at.algebraic topology - Timeline of "foundational" advances in homotopy theory?

As an interested outsider, I have been intrigued by the number of times that homotopy theory seems to have revamped its foundations over the past fifty years or so. Sometimes there seems to have b. ....

Emmy Noether , Algebraic Topology , Homotopical Algebra , Higher Topos Theory ,

Quanta Magazine

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly. ....

New Jersey , United States , David Ben Zvi , Charles Rezk , Emily Riehl , Peter Haine , Jacob Lurie , Samuel Eilenberg , John Francis , Peter May , Jonathan Campbell , David Ayala , Dennis Gaitsgory , Clark Barwick , Michael Hopkins , University Of Quebec , Johns Hopkins University , Macquarie University , Massachusetts Institute Of Technology , Montana State University , Cornell University , University Of Edinburgh , University Of Illinois , Harvard University , Institute For Advanced Study In Princeton , University Of Texas ,

The mathematic mind of Emily Riehl

Mathematician Emily Riehl finds deep and useful connections among objects that don't exist yet are everywhere. ....

New York , United States , University Of Chicago , Thousand Oaks , New Jersey , New South Wales , Illinois State University , United Kingdom , City Of , Paul Theroux , David Savitt , Emily Riehl , Jacob Lurie , Carnegie Mellon , Samuel Eilenberg , Bydale Keigerpublished , Dale Keiger , John Horton Conway , Johns Hopkins , Jeff Goldblum , Steve Awodey , Clark Barwick , Brown Paper School , University Of Quebec , Johns Hopkins Krieger School Of Arts , Wayside School ,