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The product of two ordinals is hereditarily countably metacompact

โœ Scribed by Nobuyuki Kemoto; Kerry D. Smith

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
273 KB
Volume
74
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

It will be shown that p x u is hereditarily countably metacompact for any ordinals # and u. As an immediate corollary we see that w 2 is hereditarily countably metacompact. This answers a question of Ohta (K. Tamano, 1995). Also, as a corollary we see that if A and B are subspaces of ordinals, then A x / 3 is countably metacompact. This corollary answers Question (iii) of N. Kemoto et al. (1992, p. 250).

๐Ÿ“œ SIMILAR VOLUMES

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We show that the Cartesian product Z, x Z, of two directed cycles is hypo-Hamiltonian (Hamiltonian) if and only if there is a pair of relatively prime positive integers m and n with ma + nb = ab -1 (ma + nb = ab). The result for hypo-Hamiltonian is new; that for Hamiltonian is known. These are speci