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In order to provide a uniform virtual view of resources for different users and applications, a grid computing framework with spaces (GCFS) is proposed. Based on the asynchronous mechanisms of the spaces model, this framework uses spaces to share data for applications. Spaces offer a virtual workspace for both resource providers and consumers in job scheduling. Task assignment is implemented by the coordination between the task manager and task schedulers. The space manager can dynamically create or destroy space services in response to the change of resource supplies and demands. Finally, a simulation of third generation (3G) wireless systems is developed to demonstrate the above ideas, and it is found that a flexible grid computing environment can be realized via GCFS.