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We study -paracompact subsets, defined by C. E. Aull. Here we obtain some covering properties of -paracompact subsets which are similar to properties of paracompact spaces. In particular, we characterize -paracompact subsets in regular spaces. M[...]texto impreso
In this interesting paper a new class of ultraparacompact spaces, the class of so-called (P*) spaces, is introduced and investigated. A zero-dimensional Hausdorff space is called a (P*) space if for every open cover and for every clopen base suc[...]texto impreso
Author considers the subspaces of Y X which consists of almost continuous functions. (A function is almost continuous if every neighbourhood of its graph contains the graph of some continuous function. [S. A. Naimpally, Trans. Am. Math. Soc. 123[...]texto impreso
We define a modification of continued fractions such that the lexicographic order coincides with the linear order of real numbers. Using this representation, we obtain a new proof of the theorem which shows that the Sorgenfrey line is not totall[...]texto impreso
Laguna, V.F. ; Morón, Manuel A. ; Rodríguez Sanjurjo, José Manuel | Symposium of General Topology | 1990S. Godlewski [Fundam. Math. 114, 1-9 (1981; Zbl 0498.54016)] proved that if a metrizable space X is a mutational retract of X0 and X is an MANR (mutational absolute neighborhood retract), then every component of X is a mutational retract of a co[...]texto impreso
From the text: "Problem A: Characterize (normal) spaces in which every C -embedded subset is closed. Problem B: Characterize (normal) spaces in which every C ? -embedded subset is closed. Our aim here is to call attention to the above problems,[...]texto impreso
We characterize realcompact spaces for which A-realcompactness is inherited by closed subspaces
