# nLab Combinatorial Homotopy and 4-Dimensional Complexes

## Combinatorial Homotopy and 4-Dimensional Complexes.

This book by Baues handles the classification of 4-dimensional complexes. Henry Whitehead commented in his famous paper, Combinatorial homotopy I?, (1949), ‘What has been achieved so far is a purely algebraic description of the homotopy type of any 3-dimensional complex and of any finite, simply connected 4-dimensional complex.’ (This case of simply connected 4-dimensional complexes had been treated by him in another paper in that same year of 1949.) This book by Baues gives a solution in the non-simply connected case.

# References

• H.-J. Baues, Combinatorial Homotopy and 4-Dimensional Complexes , de Gruyter Expositions in Mathematics 2, Walter de Gruyter, (1991).

category: reference

Revised on December 12, 2010 18:11:19 by Tim Porter (95.147.236.70)