共查询到19条相似文献,搜索用时 109 毫秒
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本文首先在一般L-fuzzy拓扑空间中引入了包含式正则分离性的概念.其次将包含式正则分离性与点式正则分离性及正则分离性作了比较,讨论了它们之间的相互蕴含关系.最后说明了包含式正则分离性与包含式正规分离性及包含式完全正则分离性之间的协调性. 相似文献
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T21/2LF拓扑空间和ST21/2LF拓扑空间的分离性 总被引:3,自引:0,他引:3
定义ST21/2LF拓扑空间的分离性,证明了T21/2LF拓扑空间,ST21/2LF拓扑空间与LF拓扑空间的其他几个分离性是协调的,并考察它们的性质。 相似文献
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本文引入极小正则LF拓扑空间的概念,给出了构造弱于已知正则LF拓扑的正则LF拓扑的一般方法.此外,得出了正则LF拓扑成为极小正则LF拓扑的条件. 相似文献
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定义 ST2 12 L F拓扑空间的分离性 ,证明 T2 12 LF拓扑空间、ST2 12 LF拓扑空间与 LF拓扑空间的其他几个分离性是协调的 ,并考察它们的性质。 相似文献
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在拓扑空间中,滤子是用来描述收敛的主要工具之一,也是用来研究收敛空间的主要工具。本文对拓扑空间中的滤子,定义了三个新的滤子■,*和△,并用它们刻画了拓扑空间中的T0,T1,T2,正则,完全正则和正规等分离性。 相似文献
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为了进一步研究LF拓扑空间的分离性,利用E_s远域将LF拓扑空间的T-分离性的概念进行了推广,即得E_sT-分离性.给出了E_sT-分离性的一些等价刻画,讨论了E_sT-分离性之间的联系及其基本性质(如L-好的推广,E_s同胚不变性等),最后得出了T-分离性与E_sT-分离性的关系. 相似文献
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在粗糙集理论研究中,覆盖方法的应用越来越受到重视,其中拓扑空间的子集关于子基的内部和闭包两个概念尤为重要.本文在由它们导人的关于子基的开集,闭集的基础上,给出了拓扑空间关于子基的分离性概念,并研究它们的性质,得到分离性公理定义的一般拓扑空间的进一步分类. 相似文献
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A. N. Yakivchik 《Journal of Mathematical Sciences》2005,131(4):5839-5860
Some properties generalizing the normality separation axiom and their behavior under basic topological operations and continuous
mappings are discussed. One of the general problems considered in the paper concerns the deduction of “nice” topological properties
of spaces from generalized normality of certain topological products, their subspaces, and other related structures; in particular,
extensions of the well-known theorems of Katetov and Tamano are suggested.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 2, pp. 205–238, 2003. 相似文献
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LetX andY beT
1 topological spaces andG(X, Y) the space of all functions with closed graph. Conditions under which the Fell topology and the weak Fell topology coincide
onG(X,Y) are given. Relations between the convergence in the Fell topologyτF, Kuratowski and continuous convergence are studied too. Characterizations of a topological spaceX by separation axioms of (G(X, R), τF) and topological properties of (G(X, R), τF) are investigated. 相似文献
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Ljubomir ?iri? 《Topology and its Applications》2007,154(17):3100-3106
The existence of coincidence and fixed points for continuous mappings on pseudo-compact completely regular topological spaces are proved. Our results are different from known, or are generalizations, extensions and improvements of the corresponding results due to Jungck, Liu and Liu et al. Further, the Edelstein result for contractive mappings is extended to Hausdorff (not necessarily completely regular) topological spaces and generalized in many aspects. An example is presented to show that our results are genuine generalizations of the Edelstein result. 相似文献
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文章给出了对称拓扑分子格的直和概念,给出了拓扑分子格的直和的特征,证明了对称拓扑分子格的分离性Ti(i=-1,0,1,2)及可数性CⅠ,CⅡ是可和性质. 相似文献
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N.H. Bingham 《Topology and its Applications》2010,157(13):2024-2037
This paper extends the topological theory of regular variation of the slowly varying case of Bingham and Ostaszewski (2010) [5] to the regularly varying functions between metric groups, viewed as normed groups (see also Bingham and Ostaszewski (2010) [6]). This employs the language of topological dynamics, especially flows and cocycles. In particular we show that regularly varying functions obey the chain rule and in the non-commutative context we characterize pairs of regularly varying functions whose product is regularly varying. The latter requires the use of a ‘differential modulus’ akin to the modulus of Haar integration. 相似文献
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Josef Šlapal 《Applied Categorical Structures》2011,19(2):523-537
We introduce and deal with a convergence on (objects of) constructs which is expressed in terms of generalized nets. The generalized
nets used are obtained from the usual nets by replacing the construct of directed sets and cofinal maps by an arbitrary construct.
Convergence separation and convergence compactness are then introduced in a natural way. We study the convergence compactness
and compactification and show that they behave in much the same way as the compactness and compactification of topological
spaces. 相似文献