****************************************************** PR # 31266 We propose to observe an X-ray emission from a supercluster containi ng A2028/A2029. Preivious X-ray studies on superclusters have been ma ilny intended to detect uniform X-ray emission embeded in intra-supe rcluster space, and got negative results. We thus would focus on the problem of how far the clusters' X-ray emission extends in a super-cl uster space. Our estimation is that we can constraign X-ray surface b rightness of cluster emission (if it exists) up to 5 Mpc from a clust er center. If extent of the cluster is larger than we expected (or in ter-cluster gas does exist), it will give impacts on cosmological iss ues, including recently discussed 'barion over-density'. ******************************************************