| WEAK SEQUENCE-COVERING MAPPING AND CS-NETWORK |
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| 作者姓名： | 高国士 |
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| 作者单位： | Department of |
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| 摘 要： | A mapping f: X→Y is called weak sequence-covering if whenever {ya} is a sequence in Y converging to y ∈ Y, there exist a subsequence {ynk} and xk∈f^-1(ynk)(k∈N) ,x∈f^-1 (y) such that xk→x. The main results are: (1) Y is a sequential, Frechet, strongly Frechet space iff every weak sepuence-covering mapping onto Y is quotient, pseudo-open, countably bi-quotient respectively, (2) weak sequence-covering mapping preserves cs-network and certain k-(cs-)networks, thus some new mapping theorems on k-(cs-)notworks are proved.
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| 关 键 词： | CS-网络 软次序收敛 Frechet空间 映射定理 K-网络 |
WEAK SEQUENCE-COVERING MAPPING AND CS-NETWORK |
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| Gao Guoshi.WEAK SEQUENCE-COVERING MAPPING AND CS-NETWORK[J].Journal of Suzhou University(Natural Science),1993,9(2):105-111. |
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| Authors: | Gao Guoshi |
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| Institution: | Gao Guoshi Department of Mathematics |
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| Abstract: | |
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| Keywords: | Sequential Frechet Strongly Frechet Weak sequence-covering mapping Sequence-covering mapping cs-network cs-network k-network |
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