Cationic-dyeable polyester fiber and conjugated fiber

A yarn comprising conjugated fibers consisting of:

• a polyester copolymer;
• and
• an ethylene-vinyl alcohol-based copolymer comprising from 25 to 60 mol % of a component derived from ethylene;
• wherein:
• the polyester copolymer consists of a dicarboxylic acid component and a glycol component;
• the dicarboxylic acid component comprises:
• 75 mol % or more of a component derived from terephthalic acid;
• from 1.0 mol % to 3.5 mol % of a component derived from a compound represented by formula (I):
• from 2.0 mol % to 10.0 mol % of a component derived from a cyclohexane dicarboxylic acid;
• and
• from 2.0 mol % to 8.0 mol % of a component derived from an aliphatic dicarboxylic acid;
• the ethylene-vinyl alcohol-based copolymer is exposed on at least a portion of a surface of the conjugated fiber;
• R represents hydrogen, an alkyl group having from 1 to 10 carbon atoms, or a 2-hydroxyethyl group;
• X represents a metal ion, a quaternary phosphonium ion, or a quaternary ammonium ion;
• the glycol component consists of a component derived from ethylene glycol;
• breakage of the yarn occurs at a frequency of once or not at all during spinning, when spinning is carried out at an output per hole of 1.57 g/min, using a spinneret with 24 holes having a hole diameter of 0.20 mmφ, continuously for 24 hours;
• and
• a degree of exhaustion of the fibers is at least 80% at 90° C. and at least 85% at 95° C.