DISEASE CHARACTERISTICS:

• Diagnosis of 1 of the following:

  • Leukemia including, but not limited to, the following subtypes:

    • Chronic myelogenous leukemia
    • Acute myeloid leukemia (primary or secondary)
    • Acute lymphoblastic leukemia
  • Lymphoma
  • Myelodysplastic syndrome
  • Aplastic anemia
  • Fanconi's anemia
  • Diamond-Blackfan anemia
  • Inborn errors of metabolism (e.g., Hurler syndrome, Maroteaux-Lamy syndrome, myelodysplastic syndrome VI, metachromatic leukodystrophy, adrenoleukodystrophy, and globoid cell leukodystrophy)
  • Immune deficiency disorders
• Patients must meet the eligibility requirements outlined in currently active treatment protocols of the University of Minnesota Bone Marrow Transplant Program

• HLA-identical or 1, 2, or 3 antigen mismatched umbilical cord blood (UCB) donor with at least one DRB1 match available

  • Unrelated or related donor
  • UCB specimen must contain ≥ 2.0 x 10^7 nucleated cells/kg patient body weight

PATIENT CHARACTERISTICS:

• See Disease Characteristics
• No active infection
• No history of HIV infection
• Not pregnant or nursing
• Negative pregnancy test
• Fertile patients must use effective contraception

PRIOR CONCURRENT THERAPY:

• Not specified