汞齐合金、连通体和均质汞合金
Amalgams, connectifications, and homogeneous compacta
摘要:
我们构造了一个路连通的齐次紧空间,它的胞腔度为2 ^Ω,且不同胚于并矢矩阵与第一可数矩阵的任何乘积。我们还证明了一些封闭性的各种连通性条件所定义的空间类。一个应用是T_i空间的无限拓扑和的每一个无穷乘积都有T_i路向连通,其中i是1,2,3或3.5。
英文摘要:
We construct a path-connected homogenous compactum with cellularity 2^omega that is not homeomorphic to any product of dyadic compacta and first countable compacta. We also prove some closure properties for classes of spaces defined by various connectifiability conditions. One application is that every infinite product of infinite topological sums of T_i spaces has a T_i pathwise connectification, where i is 1, 2, 3, or 3.5.
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