Abstract
This chapter discusses the way the theory of composite chain systems and the secondary boundary operator can be used in proving the theorems of Postnikov and Whitney. The conditions discussed in the chapter are more restrictive than theirs, as it eventually confines itself to finite complexes. This is because the definitions of the squaring operations do not apply to infinite complexes. However, the same theorems can be proved, by an elaboration of methods discussed in the chapter, for maps of a finite complex in an arbitrary (n–1)-connected space. However, the simplification because of a relation for which the image space is also required to be a finite complex, seems to justify the loss of generality.
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