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- W4300486587 abstract "We present a development of the theory of higher groups, including infinity groups and connective spectra, in homotopy type theory. An infinity group is simply the loops in a pointed, connected type, where the group structure comes from the structure inherent in the identity types of Martin-Lof type theory. We investigate ordinary groups from this viewpoint, as well as higher dimensional groups and groups that can be delooped more than once. A major result is the stabilization theorem, which states that if an $n$-type can be delooped $n+2$ times, then it is an infinite loop type. Most of the results have been formalized in the Lean proof assistant." @default.
- W4300486587 created "2022-10-03" @default.
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- W4300486587 date "2018-02-12" @default.
- W4300486587 modified "2023-09-30" @default.
- W4300486587 title "Higher Groups in Homotopy Type Theory" @default.
- W4300486587 doi "https://doi.org/10.48550/arxiv.1802.04315" @default.
- W4300486587 hasPublicationYear "2018" @default.
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