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Results tagged with axioms
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user 483446
9
votes
3
answers
1k
views
Axioms for the category of groups
axioms for the dagger category of (real, complex) Hilbert spaces and continuous linear maps $\mathit{Hilb}$ in their article Axioms for the category of Hilbert spaces. … Has anybody developed a synthetic set of axioms for the category of groups $\mathit{Grp}$ yet? …
- 63.1k
4
votes
1
answer
186
views
Predicativity and axiom $\mathbb{R}\flat$ in real cohesive homotopy type theory
In Mike Shulman's article Brouwer’s fixed-point theorem in real-cohesive homotopy type theory, the fundamental axiom adopted for his real-cohesive homotopy type theory (axiom $\mathbb{R}\flat$), which …
- 66.8k
5
votes
Consistency of Generalised Continuum Hypothesis and univalence in HoTT
Dominik Kirst and Felix Rech managed to formalize the Generalized Continuum Hypothesis for sets in the HoTT library in Coq with univalence, which already shows the consistency of the GCH with univalen …
- 2,624