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- W1436083252 abstract "Publisher Summary This chapter consider the cases, such as C*-, C-, or P-embedding, of extending continuous maps that defines on a subspace to the whole space. The chapter mentions a useful notion—P-embedding. The P-embedding has been investigated in various studies in consideration of several equivalent but distinct forms. The P-embedding is described in terms of extending normal covers of a subspace to normal ones on the whole space. C*- and C-embeddings will also be characterized by using finite and countable normal open covers respectively in a form analogous to the definition of the P-embedding. C*-, C-, and P-embeddings can be approached by two methods: (1) extension of continuous maps or (2) extension of normal covers. The chapter proves some basic properties of C *-, C-, P m , - and P-embeddings and their characterizations by introducing the notion of P m -embedding, which is an intermediate one between C-embedding and P-embedding. The chapter also discusses C*-embeddability of finite or certain infinite and unions of C*-embedded subsets. The chapter concludes with a discussion of the homotopy extension theorems." @default.
- W1436083252 created "2016-06-24" @default.
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- W1436083252 date "1989-01-01" @default.
- W1436083252 modified "2023-09-23" @default.
- W1436083252 title "Chapter 2 Extensions of Mappings II" @default.
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- W1436083252 doi "https://doi.org/10.1016/s0924-6509(08)70148-x" @default.
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