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C. Rourke

18 papers hereh-index 274.2k citations125 works total

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

author position
  • sole author2
  • first author6
  • middle author4
  • last author6

Across the 18 of 18 papers where every author was matched, so the position is known.

fields
  • math.GT11
  • math.GR3
  • math.AT2
  • astro-ph1
  • physics.gen-ph1

identity via Semantic Scholar / OpenAlex

activity
19972019
most citedThe compression theorem I

54 citations · 110 across the 18 of their papers we have counts for

collaborators
Showing 2000Show all

3 papers · 1 filter

math.GR2000★ 10 cited

The surjectivity problem for one-generator,, one-relator extensions of torsion-free groups

Marshall M Cohen, Colin Rourke

We use Klyachko's methods to prove that the natural map G to G-hat, where G is a torsion-free group and G-hat is obtained by adding a new generator t and a new relator w, is surjec…

math.GT2000★ 9 cited

A new classification of links and some calculations using it

Colin Rourke, Brian Sanderson

A new classification theorem for links by the authors and Roger Fenn leads to computable link invariants. As an illustration we distinguish the left and right trefoils and recover…

math.GT2000★ 7 cited

The compression theorem II: directed embeddings

Colin Rourke, Brian Sanderson

This is the second of three papers about the Compression Theorem. We give proofs of Gromov's theorem on directed embeddings [M Gromov, Partial differential relations, Springer--Ver…

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