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Sheaf Theory (Paperback, 2nd ed. 1997. Softcover reprint of the original 2nd ed. 1997)
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Sheaf Theory (Paperback, 2nd ed. 1997. Softcover reprint of the original 2nd ed. 1997)
Series: Graduate Texts in Mathematics, 170
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Primarily concerned with the study of cohomology theories of
general topological spaces with "general coefficient systems", the
parts of sheaf theory covered here are those areas important to
algebraic topology. Among the many innovations in this book, the
concept of the "tautness" of a subspace is introduced and
exploited; the fact that sheaf theoretic cohomology satisfies the
homotopy property is proved for general topological spaces; and
relative cohomology is introduced into sheaf theory. A list of
exercises at the end of each chapter helps students to learn the
material, and solutions to many of the exercises are given in an
appendix. This new edition of a classic has been substantially
rewritten and now includes some 80 additional examples and further
explanatory material, as well as new sections on Cech cohomology,
the Oliver transfer, intersection theory, generalised manifolds,
locally homogeneous spaces, homological fibrations and p- adic
transformation groups. Readers should have a thorough background in
elementary homological algebra and in algebraic topology.
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