engleski

A characterization of continuous images of arcs by their images of weight <=aleph_1

The main purpose of this paper is to characterize the continuous images of arcs by their images of the weight <=aleph_1. More precisely, we will show that a compact space X is the continuous image of an arc if and omly if every continuous image Y = f(X) with w(Y)<=aleph_1 is a continuous image of an arc.

Continuous images of arcs; inverse systems an limits

nije evidentirano