gistfile1.txt

        // add the custom domain for this api. Must be listed in the certificate
        //
        const domain = new apigw.DomainName( this, "api_domain_name", {
            domainName: props.subdomainPrefix  + "." +  props.domainName,
            securityPolicy: apigw.SecurityPolicy.TLS_1_2,
            certificate: props.certificate,
            endpointType: apigw.EndpointType.EDGE
        });

        var basePath = props.basePath != undefined? props.basePath : props.name;
        basePath = basePath.toLowerCase().replace(/[^a-zA-Z0-9]/g, '');

        domain.addBasePathMapping( this.api, { basePath: basePath });