The existence of LUR-norms on spaces of continuous functions on Fedorchuk compacta

S. P. Gulko,A. V. Ivanov,S. Troyanski,M. S. Shulikina

The existence of LUR-norms on spaces of continuous functions on Fedorchuk compacta

2018

S. P. Gulko
A. V. Ivanov
S. Troyanski
M. S. Shulikina

We construct an LUR-norm on the space C(K) which is lower semicontinuous with respect to the pointwise topology for any Fedorchuk compactum of height 3.

Keywords:

Topology
Mathematics
Mathematical analysis
Pointwise
Continuous function
Pure mathematics

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