Author

Peng-Chao Wang

3 papers indexed here

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Preprint Oct 2026

Oka realizations, fundamental groups, and holomorphic cofibrations

The homotopy types of Oka manifolds are exactly those of countable finite-dimensional CW complexes. We construct realizations as open subsets of complex Euclidean spaces with explicit dimension bounds. Other realizations have good open covers by sets biholomorphic to $\C^N$, with prescribed finite nerves, or are unions...

Bin Guo, Yuta Kusakabe, Peng-Chao Wang · 0 citations

Preprint Oct 2026

A Local Approximation Characterization of Oka Manifolds

We introduce the local approximation propert (LAP) and prove that it characterizes Oka manifolds. We prove that LAP yields convex approximation and, in an $n$-dimensional target, propagates across sets of zero $(2n-1)$-dimensional Hausdorff measure. Consequently, strong dominability characterizes Oka manifolds, convex...

Si-Cheng An, Yun Du, Bin Guo et al. · 4 citations · ⚡1

Preprint Oct 2026

Oka manifolds are ubiquitous

We prove that a holomorphic family of connected complex Lie groups has Oka total space if and only if its base is Oka. Extension presentations and generating sections give Oka results for stable and parabolic bundle moduli and for holomorphic mapping and embedding spaces. Every nonempty degree component of maps from a...

Si-Cheng An, Yun Du, Bin Guo et al. · 3 citations