Homotopy Type Theory Topology > history (Rev #13)

Here we collect articles about doing topology in HoTT.

• cohesive homotopy type theory
• space?s and homotopy types
• discrete space?
• indiscrete space?
• underlying homotopy type?
• fundamental homotopy type?
• shape
• flat?
• sharp?
• axiom R-flat (theorem if we assume I-flat)
• real cohesive homotopy type theory?
• geometrically contractible space
• contractibility of Dedekind real numbers
• continuous mapping
• discontinuous mapping?
• intermediate value theorem
• continuous interval object?
• compact connected space
• double negation
• axiom of replacement
• analytic Markov's principle

Dedekind real numbers

• order
• strict order
• dense strict order
• extended Dedekind cut
• Dedekind real unit interval
• Dedekind real numbers
• axiom I-flat?
• contractibility of Dedekind real unit interval?