In recent years, the discovery of new synthetic methodology and the application of combined strategy based on living polymerizations have become a hot topic of current researches in the functionalization of polyolefin field. Firstly, the research on mechanism, monomers and current research status of the polyhomologation of ylide which is a new synthetic methodology of constructing skeleton of molecular chain, are briefly introduced. In addition, new research progress of the design and synthesis of functionalized polyolefin copolymer by combining polyhomologation of ylide with living anionic polymerization, atom transfer radical polymerization, reversible addition-fragmentation chain transfer polymerization and ring opening polymerization, are reviewed in detail respectively. Finally, research foreground and practical application of the design and synthesis of functionalized polyolefin copolymer based on polyhomologation of ylide are also prospected.

Contents
1 Introduction
2 Polyhomologation of ylide
2.1 Mechanism of the polyhomologation of ylide
2.2 Monomers of the polyhomologation of ylide
2.3 Current research status of the polyhomologation of ylide
3 Combining with other methodologies to functionalize polyolefin
3.1 Combining with living anionic polymerization
3.2 Combining with atom transfer radical polymerization
3.3 Combining with reversible addition-fragmentation chain transfer polymerization
3.4 Combining with ring opening polymerization
4 Conclusion and outlook