Celebratio Mathematica — Haken

Wolfgang Haken: A biographical sketch

Works connected to Hanna Neumann

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W. Haken: “Connections between topological and group theoretical decision problems,” pp. 427–441 in Word problems: Decision problems and the Burnside problem in group theory (Irvine, CA, September 1969). Edited by W. W. Boone, R. C. Lyndon, and F. B. Cannonito. Studies in Logic and the Foundations of Mathematics 71. North-Holland (Amsterdam), 1973. Conference dedicated to Hanna Neumann. MR 397736 Zbl 0265.02033 incollection

This chapter discusses connections between topological and group theoretical decision problems. The chapter provides the logician with a brief survey concerning results and open questions on decision problems in topology and their relations to group theoretic decision problems. Usually topological decision problems are concerned with finite simplicial complexes. Such complexes can be described (up to isomorphism) by their incidence matrices that are finite matrices with integral entries. The chapter also discusses homeomorphism problems, isomorphism problems of fundamental groups, unsolvability results, solvability results, and some open decision problems. The chapter discusses the sufficiently largeness problem for 3-manifolds.

William Werner Boone	Related
Frank Benjamin Cannonito	Related
Hanna Neumann	Related
Roger C. Lyndon	Related