稳定运行歧管的障碍物
Obstructions to stably fibering manifolds
摘要：
紧拓扑流形之间的映射与纤维丛的投影映射同伦吗？本文用高等代数K理论中的值来说明这一问题的障碍。它们的消失意味着给定的映射纤维是稳定的。该方法还提供了相应的唯一性问题的结果，此外，它们适用于希尔伯特立方流形，推广结果查普曼-费里。
英文摘要：
Is a given map between compact topological manifolds homotopic to the projection map of a fiber bundle? In this paper obstructions to this question are introduced with values in higher algebraic K-theory. Their vanishing implies that the given map fibers stably. The methods also provide results for the corresponding uniqueness question; moreover they apply to the fibering of Hilbert cube manifolds, generalizing results by Chapman-Ferry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
