島根大学総合理工学部紀要.シリーズB

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島根大学総合理工学部紀要.シリーズB 34
2001-03 発行

Partial Topological Products in MAP

Buhagiar David
三輪 拓夫
ファイル
内容記述(抄録等)
In this paper we continue with the study of the category MAP of continuous maps and their morphisms, introduced in [3]. This category is an extension of both the category TOP_Y (of continuous maps into a fixed space Y and their morphisms) and TOP (of topological spaces and continuous maps as morphisms). Partial products are used to obtain universal type theorems for T_0, Tychonoff and zero-dimensional maps. Finally we introduce zero-dimensional and strongly zero-dimensional maps and generalize some well known results in the category TOP concerning zero-dimensional and strongly zero-dimensional spaces to the category MAP.