Proyecciones Journal of Mathematics Vol. Generalized b -closed sets in ideal bitopological spaces. Binod Chandra Tripathy. Institute of Advanced Study in Sc. Diganta Jyoti Sarma. Central Institute ofTechnology.
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We'd like to understand how you use our websites in order to improve them. Register your interest. The paper is, in essence, a monograph devoted to the theory of bitopological spaces and its applications. Not exhausting the entire subject, it reflects basic ideas and methods of the theory. The Introduction gives an idea of the origins of the basic notions, contents, methods, and problems both of the classical in the spirit of Kelly and of the general theory of bitopological spaces.
The classical theory is described rather schematically in Chapter I, only the theory of extensions of topological and bitopological spaces and the theory of completion of uniform spaces are presented in more detail. The main focus is on the general theory of bitopological spaces Chapter II. Notions, methods, and results presented here have no analogues in the classical theory. As applications, foundations of the theory of bitopological manifolds, in particular, bitopologically represented piecewise linear manifolds Chapter III , and the foundations of the theory of bitopological groups are presented Chapter IV.
This is a preview of subscription content, log in to check access. Rent this article via DeepDyve. Reprints and Permissions. Ivanov, A. Bitopological spaces. J Math Sci 98, — Download citation. Received : 09 May Issue Date : February Search SpringerLink Search.
Abstract The paper is, in essence, a monograph devoted to the theory of bitopological spaces and its applications. Immediate online access to all issues from Subscription will auto renew annually.
Authors A. Ivanov View author publications. You can also search for this author in PubMed Google Scholar. Translated by A. Rights and permissions Reprints and Permissions. About this article Cite this article Ivanov, A.