Another universality property for crumpled cubes

Autor: Robert J. Daverman
Rok vydání: 1982
Předmět:
Zdroj: Topology and its Applications. 13:229-238
ISSN: 0166-8641
DOI: 10.1016/0166-8641(82)90032-3
Popis: Let C denote a crumpled n-cube in the n-sphere Sn such that every Cantor set in its boundary is tamely embedded in Sn. The main theorem shows C to be universal in the sense that however it is sewn to a crumpled n-cube D of type 2A, a large class containing most of the explicitly described examples, the resultant space is homeomorphic to Sn.
Databáze: OpenAIRE