与超滤和拓扑空间的compactness的正则性有关的组合和模型理论原理。VI
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. VI
摘要:
讨论了拓扑空间乘积中序列完全聚点的存在性。然后,我们收集和推广的许多结果证明在第一,第二和第四部分。第六部分是对第五部分的补充,其大意是,我们在这里讨论的是一致性、完全聚点和$ κ$ - $(λ)$ -紧性,而不是正则性、$[ λ, μ]$ -紧性和$ κ$ - $ (λ, μ)$ -紧性。当然,如果我们仅限于正则基数,第五部分(对于$ λ= μ$)和第六部分基本上是一致的。
英文摘要:
We discuss the existence of complete accumulation points of sequences in products of topological spaces. Then we collect and generalize many of the results proved in Parts I, II and IV. The present Part VI is complementary to Part V to the effect that here we deal, say, with uniformity, complete accumulation points and $ κ$-$(λ)$-compactness, rather than with regularity, $[ λ, μ]$-compactness and $ κ$-$ (λ, μ)$-compactness. Of course, if we restrict ourselves to regular cardinals, Parts V (for $ λ= μ$) and Part VI essentially coincide.
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