Spaces from pieces II |
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Authors: | J Deák |
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Institution: | (1) MTA Matematikai Kutatóintézete, P.O.B. 127, H-1364 Budapest |
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Abstract: | In Parts II to IV, we are going to investigate simultaneous extensions of various topological structures (i.e. traces on several subsets at the same time are prescribed), also with separation axioms T0, T1, symmetry (in the sense of Part I, § 3), Riesz property, Lodato property. The following questions will be considered: (i) Under what conditions is there an extension? (ii) How can the finest extension be described? (iii) Is there a coarsest extension? (iv) Can we say more about extensions of two structures than in the general case? (v) Assume that certain subfamilies (e.g. the finite ones) can be extended; does the whole family have an extension, too? The general categorial results from Part I will be applied whenever possible (even when they are not really needed). |
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Keywords: | Primary 54D35 Secondary 54B30 54A05 54A20 54E15 54E17 54D10 54G20 |
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