Combination Chemotherapy and Autologous Peripheral Stem Cell Transplant in Treating Patients With Stage III, Stage IV, or Recurrent Ovarian Epithelial Cancer, Primary Peritoneal Cancer, or Fallopian Tube Cancer

RATIONALE: Giving chemotherapy before a peripheral stem cell transplant stops the growth of tumor cells by stopping them from dividing or killing them. Giving colony-stimulating factors, such as G-CSF, and certain chemotherapy drugs, helps stem cells move from the bone marrow to the blood so they can be collected and stored. More chemotherapy is then given to prepare the bone marrow for the stem cell transplant. The stem cells are then returned to the patient to replace the blood-forming cells that were destroyed by the chemotherapy. PURPOSE: This phase I trial is studying the side effects and best dose of topotecan when given together with cyclophosphamide, paclitaxel, melphalan, and cisplatin, followed by an autologous peripheral stem cell transplant in treating patients with stage III, stage IV, or recurrent ovarian epithelial cancer, primary peritoneal cancer, or fallopian tube cancer.