He can be said to have been the originator of algebraic topology and, in 1901, he claimed that his researches in many different areas such as differential equations and multiple integrals had all led him to topology.
Siya ay sinabi na ay ang maylikha ng algebraic topology at, sa 1901, siya inaangkin na ang kanyang mga pananaliksik sa maraming iba't-ibang mga lugar tulad ng kaugalian equation at maramihang mga integrals had lahat na humantong sa kanya upang topology.