Geometrical Bijections in Discrete Lattices

Combinatorics Probability and Computing

Volumn 8, Issue 1-2, 1999, Pages 109-129

  Carstens, Hans Georg ^a   Deuber, Walter A ^a   Thumser, Wolfgang ^a   Koppenrade, Elke ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0442311744     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548398003484     Document Type: Article

References (10)

1. Banach, S. and Tarski, A. (1924) Sur la decomposition des ensembles de points en parties respectivement congruents. Fund. Math. 6 244-277.
2. Brown, T. C. (1993) Description of the characteristic sequence of an irrational. Canad. Math. Bull. 36 15-21.
3. Carstens, H.-G. and Päppinghaus, P. (1984) Abstract construction of counterexamples in recursive graph theory. In Computation and Proof Theory (M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, and W. Thomas, eds), Vol. 1104 of Lecture Notes in Mathematics, Springer.
4. Ceccherini-Silberstein, T., Grigorchuk, R. and de la Harpe, P. (1997) Amenability and paradoxes for pseudogroups and for discrete metric spaces. Manuscript, personal communication.
5. Deuber, W. A., Simonovits, M. and Sós, V. T. (1995) A note on paradoxical metric spaces. Studia Scientiarum Mathematicarum Hungarica 30 17-23.
6. Elek, G. (1997) The K-theory of Gromov's translation algebras and the amenability of discrete groups. Proc. Amer. Math. Soc. 125 2551-2553.
7. Koppenrade, E. (1996) Beiträge zum Studium effektiver distanzbeschränkter Abbildungen zwischen Gittern mit besonderer Berücksichtigung rotierter Gitter unter Verwendung der Kettenbruchdarstellung. Dissertation, Universität Bielefeld.
8. Laczkovich, M. (1990) Equidecomposability and discrepancy: a solution of Tarski's circle-squaring problem. J. Reine Angew. Math. 404 77-117.
9. Manaster, A. and Rosenstein, J. (1972) Effective matchmaking (recursion theoretic aspects of a theorem of Philip Hall). Proc. London Math. Soc. 25 615-654.
10. Sudmeier, R. (1997) Beitrag zum Studium distanzbeschränkter Bijektionen zwischen Laczkovich-äquivalenten Mengen unter besonderer Berücksichtigung von Rechteckgittern. Diplomarbeit, Universität Bielefeld.