Adjunction spaces of monotonically normal spaces and spaces dominated by monotonically normal subsets

Miwa, Takuo

doi:10.1090/S0002-9939-1983-0684653-9

Adjunction spaces of monotonically normal spaces and spaces dominated by monotonically normal subsets
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by Takuo Miwa

Proc. Amer. Math. Soc. 87 (1983), 536-538

DOI: https://doi.org/10.1090/S0002-9939-1983-0684653-9

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Abstract:

In this paper, we shall prove the following results: (1) the adjunction space of two monotonically normal spaces is also monotonically normal, (2) a topological space is monotonically normal if and only if it is dominated by a collection of monotonically normal subsets.

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