Keywords
- Euler Characteristic
- Free Product
- Homotopy Type
- Presentation Class
- Homotopy Equivalent
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Andrews, J.J. and Curtis, M.L.: Free groups and handlebodies. Proc.Amer. Math.Soc. 16, 192–195 (1965)
Browning, W.: Finite CW-complexes of cohomological dimension 2 with finite abelian П1. Preprint, Forschungsinstitut für Mathematik ETH Zürich (1979)
Dunwoody, M.J.: Relation modules. Bull.Lond.Math.Soc.4, 151–155 (1973)
Dunwoody, M.J.: The homotopy type of a two-dimensional complex. Bull.Lond.Math.Soc.8, 282–285 (1976)
Epstein, D.B.A.: Finite presentations of groups and 3-manifolds. Quart.J.Math. Oxford (2), 12, 205–212 (1961)
Hempel, J.: 3-Manifolds, Ann.of Math.Studies 86, Princeton, N.J. (1976)
Hog, C.: Pseudoflächen und singuläre 3-Mannigfaltigkeiten. Staatsexamensarbeit, Frankfurt am Main (1983)
Hopf, H.: Fundamentalgruppe und zweite Bettische Gruppe. Comment.Math.Helv. 16, 257–309 (1941/42).
Lattwin, U.: Thesis (in preparation). University of Dortmund
Magnus, W., Karras, A. and Solitar, D.: Combinatorial Group Theory. Interscience, New York (1966)
Metzler, W.: Über den Homotopietyp zweidimensionaler CW-Komplexe und Elementartransformationen bei Darstellungen von Gruppen durch Erzeugende und definierende Relationen. J.Reine Angew. Math. 285, 7–23 (1976)
Metzler, W.: On the Andrews-Curtis-Conjecture and Related Problems. Proc.Conf. "Comb.Methods in Top. and alg.Geom.", Rochester (1982), to appear
Quinn, F.: Presentations and 2-complexes, fake surfaces and singular 3-manifolds. Parts 2–4 of a preprint (1981)
Reidemeister, K.: Kommutative Fundamentalgruppen. Monatshefte f.Math.u.Phys. 43, 20–28 (1936)
Seifert, H. and Threlfall, W.: Lehrbuch der Topologie. G.B.Teubner, Leipzig (1934)
Sieradski, A.: A Semigroup of Simple Homotopy Types. Math.Z. 153, 135–148 (1977)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Hog, C., Lustig, M., Metzler, W. (1985). Presentation classes, 3-manifolds and free products. In: Geometry and Topology. Lecture Notes in Mathematics, vol 1167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075222
Download citation
DOI: https://doi.org/10.1007/BFb0075222
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16053-3
Online ISBN: 978-3-540-39738-0
eBook Packages: Springer Book Archive
