A process for preparing the biodegradable polymers T1 with a molecular weight (M.sub.n) in the range from 8000 to 80,000 g/mol, with a viscosity number in the range from 30 to 450 g/ml (measured in o-dichlorobenzene/phenol (50/50 ratio by weight) at a concentration of 0.5% by weight of polymer T1 at 25.degree. C.) and a melting point in the range from 50.degree. to 255.degree. C., which comprises in a first step reacting polyetheresteramide Q1 with a molecular weight (M.sub.n) in the range from 5000 to 80,000 g/mol, a viscosity number in the range from 30 to 450 g/ml (measured in o-dichlorobenzene/phenol (50/50 ratio by weight) at a concentration of 0.5% by weight of polyetheresteramide Q1 at 25.degree. C.) and a melting point in the range from 50.degree. to 255.degree. C., obtained by reacting a mixture consisting essentially of
- (c1) polyetheresteramide P1 obtainable by reacting a mixture consisting essentially of
- (a1) a mixture consisting essentially of 20-95 mol % of adipic acid or ester-forming derivatives thereof or mixtures thereof,
- 5-80 mol % of terephthalic acid or ester-forming derivatives thereof or mixtures thereof, and
- 0-5 mol % of a compound containing sulfonate groups,
- where the total of the individual mole percentages is 100 mol %, and
- (a2) a mixture of dihydroxy compounds consisting essentially of
- (a21) from 15 to 99.3 mol % of a dihydroxy compound selected from the group consisting of C.sub.2 -C.sub.6 -alkanediols and C.sub.5 -C.sub.10 -cycloalkanediols,
- (a22) from 0.2 to 85 mol % of a dihydroxy compound containing ether functionalities of the formula I
- HO--(CH.sub.2).sub.n --O!.sub.m --H I
- where n is 2, 3 or 4 and m is an integer from 2 to 250, or mixtures thereof,
- (a23) from 0.5 to 80 mol % of an amino-C.sub.2 -C.sub.12 -alkanol or amino-C.sub.5 -C.sub.10 -cycloalkanol, and
- (a24) from 0 to 50 mol % of a diamino-C.sub.1 -C.sub.8 -alkane,
- (a25) from 0 to 50 mol % of a 2,2'-bisoxazoline of the formula II ##STR28## where R.sup.1 is a single bond, a (CH.sub.2).sub.q alkylene group with q=2, 3 or 4, or a phenylene group, where the total of the individual mole percentages is 100 mol %,
- where the molar ratio of (a1) to (a2) is selected in the range from 0.4:1 to 1.5:1,
- with the proviso that the polyetheresteramide P1 has a molecular weight (M.sub.n) in the range from 5000 to 80,000 g/mol, a viscosity number in the range from 30 to 450 g/ml (measured in o-dichlorobenzene/phenol (50/50 ratio by weight) at a concentration of 0.5% by weight of polyetheresteramide P1 at 25.degree. C.) and a melting point in the range from 50.degree. to 200.degree. C., and with the further proviso that from 0 to 5 mol %, based on the molar amount of component (a1) used, of a compound D with at least three groups capable of ester formation is used to prepare the polyetheresteramides P1,
- (c2) 0.01-50% by weight, based on (c1), of amino carboxylic acid B1,
- where the amino carboxylic acid B1 is selected from the group consisting of the natural amino acids, polyamides with a molecular weight not exceeding 18,000 g/mol, obtained by polycondensation of a dicarboxylic acid with 4 to 6 carbon atoms and a diamine with 4 to 10 carbon atoms and compounds which are defined by the formulae IIIa and IIIb ##STR29## where p is an integer from 1 to 1500 and r is an integer from 1 to 4, and G is a radical which is selected from the group consisting of phenylene, --(CH.sub.2).sub.n --, where n is an integer from 1 to 12, --C(R.sup.2)H-- and --C(R.sup.2)HCH.sub.2, where R.sup.2 is methyl or ethyl, and polyoxazolines with the repeating unit IV ##STR30## where R.sup.3 is hydrogen, C.sub.1 -C.sub.6 -alkyl, C.sub.5 -C.sub.8 -cycloalkyl, phenyl which is unsubstituted or substituted up to three times by C.sub.1 -C.sub.4 -alkyl groups, or tetrahydrofuryl, and
- (c3) 0-5 mol %, based on the molar amount of component (a1) used for the preparation of P1, of compound D
- and in a second step reacting Q1 with (e1) 0.1-5% by weight, based on the polyetheresteramide Q1, of diisocyanate C1 and with (e2) 0-5 mol %, based on the molar amount of component (a1) used for the preparation of Q1, of compound D.