Some properties of contra-γ-continuous functions

Some properties of contra-γ-continuous functions
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反γ-连续函数的一些性质

DOI:
10.1016/j.chaos.2003.10.033
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
A. Nasef
A. Nasef
中科院分区:
--
文献类型:
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作者:
A. Nasef

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反连续性的概念是由Dontchev [Int. J. Math. Math. Sci. 19(1996)303]。本文利用拓扑空间中的γ-开集概念,提出并研究了一类新的函数,称为反-γ-连续函数,它介于反-半连续函数和反-β-连续函数之间.我们推测反γ连续性可能与分形和Cantorian时空的物理学有关。
The notion of contra-continuity was introduced and investigated by Dontchev [Int. J. Math. Math. Sci. 19 (1996) 303]. In this paper, we apply the notion of γ-open sets in topological spaces to present and study a new class of functions called contra-γ-continuous functions which lies between classes of contra-semi-continuous functions and contra-β-continuous functions. We speculate that contra-γ-continuity may be relevant to the physics of fractal and cantorian spacetime.