发表机构
Weizmann Institute of Science（魏茨曼科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在凝聚谱上构造了推广经典Pontryagin对偶的对合对偶，证明其诱导同伦群上的对偶且双对偶映射为等价，并表明普通谱无需有限性假设即满足双对偶性。
AI 中文摘要
我们在具有局部紧同伦群的凝聚谱上构造了一个对合对偶，推广了经典Pontryagin对偶。我们证明对偶化在同伦群上诱导出Pontryagin对偶，且度数反转，并且典范的双对偶映射是一个等价。特别地，每个普通谱，视为离散凝聚谱时，满足双对偶性，而对其同伦群无需任何有限性假设。
英文摘要
We construct an involutive duality on condensed spectra with locally compact homotopy groups, extending classical Pontryagin duality. We prove that dualization induces Pontryagin duality on homotopy groups, with degrees reversed, and that the canonical biduality map is an equivalence. In particular, every ordinary spectrum, viewed as a discrete condensed spectrum, satisfies biduality, without any finiteness assumptions on its homotopy groups.
