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- W4281567324 abstract "We formulate and study the notion of $d$-skeletal diffeology, which generalizes that of wire diffeology, introducing the dual notion of $d$-coskeletal diffeology. We first show that paracompact finite-dimensional $C^infty$-manifolds $M_d$ with $d$-skeletal diffeology inherit good topologies and smooth paracompactness from $M$. We then study the pathology of $M_d$. Above all, we prove the following: For $d<{rm dim} M$, every immersion $f:Mlongrightarrow N$ is isolated in the diffeological space $dcal(M_d, N_d)$ of smooth maps and the $d$-dimensional smooth homotopy group of $M_d$ is uncountable." @default.
- W4281567324 created "2022-05-27" @default.
- W4281567324 creator A5004911196 @default.
- W4281567324 date "2022-05-24" @default.
- W4281567324 modified "2023-09-30" @default.
- W4281567324 title "$C^infty$-manifolds with skeletal diffeology" @default.
- W4281567324 doi "https://doi.org/10.48550/arxiv.2205.11943" @default.
- W4281567324 hasPublicationYear "2022" @default.
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