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Mathematical Communications, Vol.13 No.2 Prosinac 2008.

Izvorni znanstveni članak

The Bing-Borsuk and the Busemann conjectures

Denise M. Halverson ; Department of Mathematics, Brigham Young University,Provo, U.S.A.
Dušan Repovš ; Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, Ljubljana, Slovenia

Puni tekst: engleski, pdf (221 KB) str. 163-184 preuzimanja: 854* citiraj
APA 6th Edition
Halverson, D.M. i Repovš, D. (2008). The Bing-Borsuk and the Busemann conjectures. Mathematical Communications, 13 (2), 163-184. Preuzeto s https://hrcak.srce.hr/30884
MLA 8th Edition
Halverson, Denise M. i Dušan Repovš. "The Bing-Borsuk and the Busemann conjectures." Mathematical Communications, vol. 13, br. 2, 2008, str. 163-184. https://hrcak.srce.hr/30884. Citirano 23.10.2018.
Chicago 17th Edition
Halverson, Denise M. i Dušan Repovš. "The Bing-Borsuk and the Busemann conjectures." Mathematical Communications 13, br. 2 (2008): 163-184. https://hrcak.srce.hr/30884
Harvard
Halverson, D.M., i Repovš, D. (2008). 'The Bing-Borsuk and the Busemann conjectures', Mathematical Communications, 13(2), str. 163-184. Preuzeto s: https://hrcak.srce.hr/30884 (Datum pristupa: 23.10.2018.)
Vancouver
Halverson DM, Repovš D. The Bing-Borsuk and the Busemann conjectures. Mathematical Communications [Internet]. 23.12.2008. [pristupljeno 23.10.2018.];13(2):163-184. Dostupno na: https://hrcak.srce.hr/30884
IEEE
D.M. Halverson i D. Repovš, "The Bing-Borsuk and the Busemann conjectures", Mathematical Communications, vol.13, br. 2, str. 163-184, prosinac 2008. [Online]. Dostupno na: https://hrcak.srce.hr/30884. [Citirano: 23.10.2018.]

Sažetak
We present two classical conjectures concerning the characterization
of manifolds: the Bing Borsuk conjecture asserts that every
n-dimensional homogeneous ANR is a topological n-manifold,
whereas the Busemann conjecture asserts that every n-dimensional
G-space is a topological n-manifold. The key object in both
cases are so-called i.e. ENR homology manifolds. We look at the history from the early beginnings to the present day. We also list several open problems and related conjectures.

Ključne riječi
Bing-Borsuk conjecture; homogeneity; ANR; Busemann G-space; Busemann conjecture; Moore conjecture; de Groot conjecture; generalized manifold; cell-like resolution; general position property; delta embedding property; disjoint disks property; recognition

Hrčak ID: 30884

URI
https://hrcak.srce.hr/30884

Posjeta: 1.090 *