Bitopological and topological ordered k-spaces

Connectedness in (Ideal) Bitopological Ordered Spaces

The aim of the present paper is to study connectedness in bitopological ordered spaces and in ideal bitopological ordered spaces.

Linearly Ordered Topological Spaces

This work is devoted to the study of certain cardinality modifications of paracompactness and compactness in the setting of linearly ordered spaces. Some of the concepts treated here have previously been studied by Aquaro [l]1, Gulden [4], Kennison [5], Mansfield [6], Morita [7], and Poppe [9]. On the other hand, the concept of m-boundedness, introduced in §2, is new. Our main results (Theorems...

Partially Ordered Topological Spaces

Polish spaces, computable approximations, and bitopological spaces

Answering a question of J. Lawson (formulated also earlier, in 1984, by Kamimura and Tang [Theoret. Comput. Sci. 34 (1984) 275–288]) we show that every Polish space admits a bounded complete computational model, as defined below. This results from our construction, in each Polish space 〈X,τ 〉, of a countable family C of non-empty closed subsets of X such that: (cp) each subset of C with the fin...

Soft Bitopological Spaces

N. Cagman, S. Karatas and S. Enginoglu, Soft topology, Comput. Math. Appl. 62 (2011), 351-358. D. Chen, The parametrization reduction of soft sets and its applications, Comput. Math. Appl. 49 (2005) 757-763. F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl. 57 (2009), 1547-1553. J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. , 13 (1963), 71-81. P. K. Maji, R. Biswa...