Glasnik matematički, Vol. 37 No. 2, 2002.
Izvorni znanstveni članak
The property RNT on dendroids
Veronica Martinez-de-la-Vega
Sažetak
A continuum is said to be retractable onto near trees (abbreviating RNT) provided that for each > 0 there exists > 0 such that if T is a tree in X and H(T,X) < , then there exists an -retraction r of X onto T. In this paper it is proved that an arcwise connected continuum with the property RNT is a dendroid. We focus our study on dendroids. Dendrites are characterized as: (a) smooth dendroids with property RNT, (b) dendroids with the property RNT hereditarily. Finally, an example of a nonlocally connected dendroid with property RNT is shown.
Ključne riječi
Continuum; dendrite; dendroid; retraction; tree
Hrčak ID:
4805
URI
Datum izdavanja:
1.12.2002.
Posjeta: 666 *