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| ON THE EXISTENCE OF PRODUCT STOCHASTIC MEASURES | |
| 作者姓名： | 陈培德 李俊芬 李俊芬 |
| 作者单位： | Institute of Applied Mathematics，Academia Sinica，Henan Normal University，Institute of Applied Mathematics，Academia Sinica Henan Normal University |
| 摘 要： | In this paper, we prove that the existence of product stochastic measures depends on the axiomsystem of set theory: If one aecepts the axiom of choice, the answer is negative, and we give acounter-example where the product stochastic measure doesn't exist; but in the Solovay model (onekind of set theory which refuses the axiom of choice),the answer is positive, and we give a proof. |
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