Ininfitely generated objects(fundamental groups of wild spaces)

中心主题是非交换的Specker现象，这是不可数群的通用现象。我们结合群论和代数拓扑学对其进行了研究。我们特别证明了以下几点。Peano连续体的基本群决定了这些群之间的同伦类型，而这些群之间的每一个同态本质上都是由一个连续映射导出的。一般来说，任意Peano连续统的基群在野部不能分解为非平凡自由积。存在一个二维的、细胞状的、单连通的、不可收缩的皮亚诺连续统。

The central theme is the non-commutative Specker phenomenon, which is generic for uncountable groups. We studied it related to group theory and algebraic topology.In particular we proved the following. The fundamental groups of Peano continua determine the homotopy types and each homomorphism between thosegroupsis essentially induced from a continuous map. In general the fundamental group of an arbirary Peano continuum cannot be decomposed into a non-trivial free product at wild parts. There exists a 2-dimensional, cell-like, simply-connected, non-contractible Peano continuum.