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1. copying reference from HoTT wiki

Anonymous

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJun 9th 2022

In adding the missing publication data, I have taken the liberty of (hyperlinking the abstract and) re-formatting as follows – what do you think:

Abstract. Univalent homotopy type theory (HoTT) may be seen as a language for the category of $\infty$-groupoids. It is being developed as a new foundation for mathematics and as an internal language for (elementary) higher toposes. We develop the theory of factorization systems, reflective subuniverses, and modalities in homotopy type theory, including their construction using a “localizationhigher inductive type. This produces in particular the ($n$-connected, $n$-truncated) factorization system as well as internal presentations of subtoposes, through lex modalities. We also develop the semantics of these constructions.