Celebratio Mathematica — Rourke

Colin Patrick Rourke: a short biography

Works connected to Brian Joseph Sanderson

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C. P. Rourke and B. J. Sanderson: “An embedding without a normal microbundle,” Invent. Math. 3 (1967), pp. 293–299. MR 222904 Zbl 0168.44602 article

C. P. Rourke and B. J. Sanderson: “Block bundles, I,” Ann. of Math. (2) 87 (1968), pp. 1–28. MR 226645 Zbl 0215.52204 article

C. P. Rourke and B. J. Sanderson: “Block bundles, II: Transversality,” Ann. of Math. (2) 87 (1968), pp. 256–278. MR 226646 Zbl 0215.52301 article

C. P. Rourke and B. J. Sanderson: Introduction to piecewise-linear topology. Ergeb. Math. Grenzgeb. 69. Springer, 1972. MR 350744 Zbl 0254.57010 book

The first five chapters of this book form an introductory course in piecewise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, and perhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewiselinear setting and could be the basis of a first-year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appendix are listed the properties of Whitehead torsion which are used in the \( s \)-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geometric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of “historical notes” to be found after the appendices.

S. Buoncristiano, C. P. Rourke, and B. J. Sanderson: A geometric approach to homology theory. London Mathematical Society Lecture Note Series 18. Cambridge University Press; London Mathematical Society (Cambridge; London), 1976. MR 413113 Zbl 0315.55002 book

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