Add to ORKGsummary:In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space $X$ is $z$-embedded in every larger Tychonoff space if and only if $X$ is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings
AbstractAnswering a problem of A.V. Arhangel'skiı̆, we prove the following theorem: a Hausdor...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
summary:In this paper, we prove the following statements: (1) For every regular uncountable cardinal...
summary:In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hag...
AbstractIt is proved that a FH(FRT2) space X is z-embedded in every FH(FRT1) space that X is embedde...
AbstractIt is proved that a functionally Hausdorff space (X, T) is (a) C-embedded in every functiona...
Arhangel’skii and Tartir [3] characterized compactness by some relative separation property and pose...
Answering aproblem of A. V. $\mathrm{A}\mathrm{r}\mathrm{h}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}1...
We added an appendix with Chern class computations.We study the geometry of universal embedding spac...
AbstractA space X is said to be an (a)-space provided that for every open cover U of X and every den...
summary:Arhangel'skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactne...
summary:Paracompactness ($=2$-paracompactness) and normality of a subspace $Y$ in a space $X$ define...
We give a characterization of realcompact spaces in terms of nets. By using the technique of this ch...
Abstract. In this paper, we construct a cover (L(X), cX) of a space X such that for any cloz-cover (...
Eilenberg proved that if a compact space X admits a zero-dimensional map f:X! Y, where Y is m-dimens...
AbstractAnswering a problem of A.V. Arhangel'skiı̆, we prove the following theorem: a Hausdor...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
summary:In this paper, we prove the following statements: (1) For every regular uncountable cardinal...
summary:In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hag...
AbstractIt is proved that a FH(FRT2) space X is z-embedded in every FH(FRT1) space that X is embedde...
AbstractIt is proved that a functionally Hausdorff space (X, T) is (a) C-embedded in every functiona...
Arhangel’skii and Tartir [3] characterized compactness by some relative separation property and pose...
Answering aproblem of A. V. $\mathrm{A}\mathrm{r}\mathrm{h}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}1...
We added an appendix with Chern class computations.We study the geometry of universal embedding spac...
AbstractA space X is said to be an (a)-space provided that for every open cover U of X and every den...
summary:Arhangel'skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactne...
summary:Paracompactness ($=2$-paracompactness) and normality of a subspace $Y$ in a space $X$ define...
We give a characterization of realcompact spaces in terms of nets. By using the technique of this ch...
Abstract. In this paper, we construct a cover (L(X), cX) of a space X such that for any cloz-cover (...
Eilenberg proved that if a compact space X admits a zero-dimensional map f:X! Y, where Y is m-dimens...
AbstractAnswering a problem of A.V. Arhangel'skiı̆, we prove the following theorem: a Hausdor...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
summary:In this paper, we prove the following statements: (1) For every regular uncountable cardinal...