Topotecan, High-Dose Cyclophosphamide, Carboplatin, and an Autologous Peripheral Blood Cell Transplant in Treating Patients With Recurrent Ovarian Cancer or Primary Peritoneal Cancer

DISEASE CHARACTERISTICS: * Histologically confirmed ovarian epithelial or primary peritoneal cavity cancer * Recurrent, relapsed, or persistent disease meeting 1 or more of the following criteria: * Patients with a positive second-look laparotomy who are not candidates for higher priority GOG protocols * Largest mass of recurrent disease ≤ 0.2 cm achieved by surgery or chemotherapy * Achievement of complete response to 1 prior regimen of platinum-based chemotherapy with relapse \> 6 months from last chemotherapy * Achievement of partial response to 1 platinum-based chemotherapy regimen prior to study * Histological proof of disease recurrence with or without a rising serum CA-125 level (relapsed or recurrent disease) * The following histological cell types are allowed: * Clear-cell adenocarcinoma * Endometrioid adenocarcinoma * Mixed epithelial carcinoma * Mucinous adenocarcinoma * Serous adenocarcinoma * Undifferentiated carcinoma * Must have unilateral bone marrow aspirate and biopsy with cytogenetics without evidence of metastatic ovarian carcinoma by conventional morphology within 1 month of registration * Not eligible for GOG-164 PATIENT CHARACTERISTICS: * ECOG performance status 0-2 * Creatinine ≤ 1.5 mg/dL * Total bilirubin ≤ 2.0 mg/dL (≤ 5.0 mg/dL with metastatic disease) * AST ≤ 2 times upper limit of normal (ULN) (≤ 600 units/mL with metastatic disease) * Alkaline phosphatase ≤ 2 times ULN (unless related to metastatic disease) * ANC ≥ 1,000/mm\^3 * Platelets ≥ 100,000/mm\^3 * Cardiac ejection fraction ≥ 45% by rest ECHO or MUGA * FEV\_1 ≥ 50% of predicted * HIV negative * No uncontrolled infection * No severe medical or psychiatric illness, including any of the following: * Renal failure * Brittle insulin dependent diabetes mellitus * Congestive heart failure * History of myocardial infarction within the past 3 months * Significant arrhythmia requiring medication * Poorly controlled hypertension (diastolic blood pressure \>100 mm Hg) * History of hospitalization for severe depression or psychosis * Significant non-neoplastic pulmonary disease * Current alcohol or drug abuse. * Active infection * Active peptic ulcer disease * No prior malignancy within the past 5 years except adequately treated basal cell or squamous cell carcinoma of the skin or in situ cervical carcinoma PRIOR CONCURRENT THERAPY: * See Disease Characteristics * No more than 1 prior treatment regimen for this cancer * More than 3 weeks since surgery * No prior topotecan hydrochloride