Mathematics

Surveys in General Topology by George M. Reed

By George M. Reed

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The Shelah preprint. independence [Wo] Woods, Grant, Characterizations of some C*-embedded subspaces of $N, Pacific J. Math. 65 (1976), 573-379. Added in proof by Eric K. van Douwen (October 1, 1979): theorem, It has been reported that Murray Bell has proved that (*), men­ tioned in 3(c), holds in ZFC. 5URVEYS IN GENERAL TOPOLOGY COVERING AND SEPARATION PROPERTIES OF BOX PRODUCTS Institute ABSTRACT: Eric K. van Douwen for Medicine and Mathematics Ohio University We give a fairly complete survey, including proofs, of what is known about the question of when a box product of compact spaces is paracompact, and show how badly a box pro­ duct of compact or metrizable spaces can fail to be normal.

IV 23 (1971), 11-21. K. Junnila, On submetacompactness (1978) . [Ka] A. Kato, Solutions of Morita's problems concerning eountably-compactificationsy Gen. Top. Appi. 7 (1977), 77-87. J. Krajewski, On expanding locally finite tions y Can. J. Math. 23 (1971), 58-68. [K ] T. Kramer, The product of two topological Gen. Top. Appi. 6 (1976), 1-16. [K~] , A note on countably subparacompact Pac. J. Math. 46 (1973), 209-213. [L,] N. Lasnev, Continuous decompositions and closed mappings of metric spaces y Soviet Math.

8 4 ( 1 9 7 4 ) , 1 0 7 - 1 1 9 . 4. C o b a n , Perfect mappings and spaces of countable type, V e s t n i k Moskov. U n i v . S e r . I . Mat. Meh. 22 (1967), 87-93. [Cr] G G . C r e e d e , Concerning semi-stratifiable spaces, P a c . J . M a t h . 22 ( 1 9 7 0 ) , 4 7 - 5 4 . [D] S . D a v i s , A cushioning-type weak covering property, P a c . J . Math. 80 ( 1 9 7 9 ) . [vDLPR E . K . v a n Douwen, D . J . L u t z e r , J . P e l a n t , a n d G . M . R e e d , On unions of metrizable subspaces, t o a p p e a r .

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