Polymer topology is an emerging discipline focusing on the spatial arrangement of repeating units in the macromolecular chains

including linear

cyclic

branched

dendritic

supramolecular self-assembled and mechanically interlocked structures. Based on a polymer topology perspective

research on the polymer diversity and its chain complexity could be effectively simplified to some extent. Especially

the topological equivalence concept can be introduced into the classification of polymer chain structures

as well as the transformation relationships among points

lines and rings in the topological structures. This article is not only targeted at the systematic classification of polymer topologies mainly proposed by Tezuka

but also their corresponding application in the topological polymers.