412 research outputs found

    What makes a space have large weight?

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    We formulate several conditions (two of them are necessary and sufficient) which imply that a space of small character has large weight. In section 3 we construct a ZFC example of a first countable 0-dimensional space X of size 2^omega with w(X)=2^omega and nw(X)=omega, we show that CH implies the existence of a 0-dimensional space Y of size omega_1 with w(Y)=nw(Y)=omega_1 and chi(Y)=R(Y)=omega, and we prove that it is consistent that 2^omega is as large as you wish and there is a 0-dimensional space Z of size 2^omega such that w(Z)=nw(Z)=2^omega but chi(Z)=R(Z^omega)=omega

    INDUSTRIAL REVIEW - AUS DER INDUSTRIE. ĂśBER DIE INNERE MORPHOLOGIE VON SANDFORMEN MIT BENTONITBINDUNG

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    BONDING MECHANISM OF SOREL'S CEMENT AND MECHANICAL ACTIVATION OF MgO

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    HYDRAULIC BINDER FROM MECHANO-CHEMICALLY ACTlV ATED PUMICITE

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    Two improvements on TkaÄŤenko's addition theorem

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    summary:We prove that (A) if a countably compact space is the union of countably many DD subspaces then it is compact; (B) if a compact T2T_2 space is the union of fewer than N(R)N(\Bbb R) = \operatorname{cov} (\Cal M) left-separated subspaces then it is scattered. Both (A) and (B) improve results of TkaÄŤenko from 1979; (A) also answers a question that was raised by Arhangel'ski\v{i} and improves a result of Gruenhage
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