1. The new combinatorial topology formally treated topological classes as abelian groups. 2. This initiated, one could say, the era of combinatorial topology . 3. Digital topology is highly related to combinatorial topology . 4. It should not be confused with combinatorial topology which is an older name for algebraic topology. 5. Topological-balls are important in combinatorial topology , as the building blocks of cell complexes. 6. He also first introduced the basic concepts and invariants of combinatorial topology , such as Betti numbers and the fundamental group. 7. The subsequent spread of homology groups brought a change of terminology and viewpoint from " combinatorial topology " to " algebraic topology ". 8. Rosenfeld ( 1973 ) proposed digital topology for a type of image processing that can be considered as a new development of combinatorial topology . 9. He later co-authored, with Max Dehn, a foundational article on combinatorial topology , in the form of an encyclopedia entry. 10. He worked on the foundations of combinatorial topology , and proposed that a notion of equivalence be defined using only three elementary " moves ".
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