Glasnik matematički, Vol. 36 No. 2, 2001.
Izvorni znanstveni članak
Local connctedness and unicoherence at subcontinua
Deborah Oliveros
Isabel Puga
Sažetak
Let X be a continuum and Y a subcontinuum of X. The purpose of this paper is to investigate the relation between the conditions "X is unicoherent at Y" and "Y is unicoherent". We say that X is strangled by Y if the closure of each component of X \ Y intersects Y in one single point. We prove: If X is strangled by Y and Y is unicoherent then X is unicoherent at Y. We also prove the converse for a locally connected (not necessarily metric) continuum X.
Ključne riječi
Unicoherence; unicoherence at subcontinua; strangled; cyclic element; local connectedness; semilocal connectedness
Hrčak ID:
4835
URI
Datum izdavanja:
1.12.2001.
Posjeta: 1.075 *