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researcher

M. Farber

33 papers hereh-index 313.6k citations159 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author16
  • first author15
  • middle author1
  • last author1

Across the 33 of 33 papers where every author was matched, so the position is known.

fields
  • math.DG18
  • math.AT12
  • cs.RO1
  • dg-ga1
  • math.DS1

identity via Semantic Scholar / OpenAlex

activity
19972008
most citedTopological robotics: motion planning in projective spaces

15 citations · 60 across the 12 of their papers we have counts for

collaborators
Showing 2008 · math.ATShow all

2 papers · 2 filters

math.AT2008★ 3 cited

Motion planning in spaces with small fundamental group

Armindo Costa, Michael Farber

We establish sharp upper bounds for the topological complexity of motion planning problem in spaces with small fundamental group, i.e. when it is finite of small order or has small…

math.AT2008★ 1 cited

Topological complexity of configuration spaces

Michael Farber, Mark Grant

The topological complexity TC(X) is a homotopy invariant which reflects the complexity of the problem of constructing a motion planning algorithm in the space X, viewed as configur…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.