Local compactness and cartesian products of quotient maps and K-spaces
Michael, Ernest
Annales de l'Institut Fourier, Tome 18 (1968), p. 281-286 / Harvested from Numdam
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On démontre que la compacité locale, qui est une condition suffisante dans certains théorèmes de J.H.C. Whitehead et de D.E. Cohen sur les produits cartésiens, y est aussi nécessaire.

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     author = {Michael, Ernest},
     title = {Local compactness and cartesian products of quotient maps and $K$-spaces},
     journal = {Annales de l'Institut Fourier},
     volume = {18},
     year = {1968},
     pages = {281-286},
     doi = {10.5802/aif.300},
     mrnumber = {39 \#6256},
     zbl = {0175.19703},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1968__18_2_281_0}
}

Michael, Ernest. Local compactness and cartesian products of quotient maps and $K$-spaces. Annales de l'Institut Fourier, Tome 18 (1968) pp. 281-286. doi : 10.5802/aif.300. http://gdmltest.u-ga.fr/item/AIF_1968__18_2_281_0/

[1] T. K. Boehme, Linear s-spaces, Proc. Symp. Convergence Structures, U. of Oklahoma, 1965.

[2] N. Bourbaki, Topologie Générale, Chapters 1 and 2, 3rd ed., Hermann, 1961. | Zbl 0102.37603

[3] D. E. Cohen, Spaces with weak topology, Quart. J. Math., Oxford Ser. (2) 5 (1954), 77-80. | MR 16,62c | Zbl 0055.16103

[4] C. H. Dowker. Topology of metric complexes, Amer. J. Math., 74 (1952), 555-577. | MR 13,965h | Zbl 0046.40401

[5] S. P. Franklin, Spaces in which sequences suffice, Fund. Math., 57 (1965), 107-115. | MR 31 #5184 | Zbl 0132.17802

[6] J. L. Kelley, General Topology, VanNostrand, (1955). | MR 16,1136c | Zbl 0066.16604

[7] E. Michael, ﬡo-spaces, J. Math. Mech., 15 (1966), 983-1002. | MR 34 #6723 | Zbl 0148.16701

[8] J. H. C. Whitehead, A note on a theorem of Borsuk, Bull. Amer. Math. Soc, 54 (1958), 1125-1132. | MR 10,617c | Zbl 0041.31901