Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.
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Euler made some basic contributions which are now considered topology. However, topology was not recognized as a separate field in mathematics until the twentieth century (several hundred years after Euler.) It would probably be best to say that Poincarre pioneered the subject which became topology.
No, there is not.
Leonard Euhler
It is called topology
math and arithmetic