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Mappings of Topological Spaces

Iain T. Adamson
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Iain T. Adamson: Department of Mathematics and Computer Science

Chapter Chapter 2 in A General Topology Workbook, 1996, pp 19-22 from Springer

Abstract: Abstract Let f be a mapping from a set E to a set E′. If A is a subset of E we use the notation f→(A) for the direct image of the subset A under f, i.e. the set consisting of the images f(a) of all points a in A. Again, if A′ is a subset of E′, we use f ← (A′) to denote the inverse image of A′ under f, i.e. the set of all points x of E for which the image f(x) lies in A′.

Date: 1996
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DOI: 10.1007/978-0-8176-8126-5_2

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