有理同倫論（簡體書）

R，ational homotopy theory has the disadvantage of discarding a considerable amount of information. For example， the homotopy groups of the sphere S''2 are non-zero in infinitelv many degrees whereas its rational homotopy groups vanish in all degrees above 3. By contrast， rational homotopy theory has the advantage of being remarkably computational. For example， there is not even a conjectural description of all the homotopy groups of any simply connect.ed finite CW complex， whereas for many of these the rational groups can be explicitly determined. And while rational homotopy theory is indeed simpler than ordinary homotopy theory， it is exactly this simplicity that makes it possible to address （if not alway-s to solve） a number of fundamental questions.本書是講述有理同倫的教材，有該領域的三位知名作者合著而成。同倫理論是代數拓撲的一個分支， 書中講述了該領域的主要定理和完整證明，並將有理同倫理論的表示和技巧做了大量的簡化，書中呈現了許多重要結果的現代證明，這些結果都是十來年的主要貢獻。