AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Algebraic and Geometric Topology, Part 2
About this Title
R. James Milgram, Editor
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1978; Volume 32.2
ISBNs: 978-0-8218-1433-8 (print); 978-0-8218-9321-0 (online)
DOI: https://doi.org/10.1090/pspum/032.2
Table of Contents
Download chapters as PDF
Front/Back Matter
Structure of topological manifolds
- Takao Matumoto – Triangulation of manifolds [MR 520517]
- David E. Galewski and Ronald J. Stern – Simplicial triangulations of topological manifolds [MR 520518]
- Allan L. Edmonds – Fibering topological manifolds [MR 520519]
Low dimensional manifolds
- Friedhelm Waldhausen – Recent results on sufficiently large $3$-manifolds [MR 520520]
- A. J. Casson and C. McA. Gordon – On slice knots in dimension three [MR 520521]
- John R. Stallings – Constructions of fibred knots and links [MR 520522]
- Hugh M. Hilden and José M. Montesinos – A method of constructing $3$-manifolds and its application to the computation of the $\mu$-invariant [MR 520523]
- William Jaco and Peter B. Shalen – A new decomposition theorem for irreducible sufficiently-large $3$-manifolds [MR 520524]
- Michael Freedman and Robion Kirby – A geometric proof of Rochlin’s theorem [MR 520525]
- Yukio Matsumoto – Secondary intersectional properties of $4$-manifolds and Whitney’s trick [MR 520526]
Geometry of differential manifolds and algebraic varieties
- E. Rees and E. Thomas – Smoothings of isolated singularities [MR 520527]
- John W. Morgan – Hodge theory for the algebraic topology of smooth algebraic varieties [MR 520528]
- Sylvain E. Cappell and Julius L. Shaneson – An introduction to embeddings, immersions and singularities in codimension two [MR 520529]
- Donald Davis and Mark Mahowald – Immersions of projective spaces [MR 520530]
- William D. Homer – Singularities in lens spaces [MR 520531]
- Franz W. Kamber and Philippe Tondeur – Characteristic classes and Koszul complexes [MR 520532]
- Wensor Ling – Translations on $M\times \mathbf {R}$ [MR 520533]
- Walter D. Neumann – Homotopy invariance of Atiyah invariants [MR 520534]
- Herbert Shulman – Covering dimension and characteristic classes for foliations [MR 520535]
- John W. Wood – A connected sum decomposition for complete intersections [MR 520536]
- Stephen Shing Toung Yau – Normal singularities of surfaces [MR 520537]
$H$-spaces, loop spaces, and $CW$ complexes
- James P. Lin – On the topology of finite $H$-spaces [MR 520538]
- John R. Harper – On the construction of mod $p$ $H$-spaces [MR 520539]
- Erik Kjaer Pedersen – Smoothings of $H$-spaces [MR 520540]
- Peter J. Kahn – The homotopy-dimension of nilpotent spaces [MR 520541]
- Joel M. Cohen – Complexes of cohomological dimension two [MR 520542]
- F. R. Cohen, M. E. Mahowald and R. J. Milgram – The stable decomposition for the double loop space of a sphere [MR 520543]
- J. P. May – $H_{\infty }$ ring spectra and their applications [MR 520544]
- F. R. Cohen – Little cubes and the classifying spaces for $n$-sphere fibrations [MR 520545]
Problems
- W. Browder and W. C. Hsiang – Some problems on homotopy theory, manifolds and transformation groups [MR 520546]
- Compiled by Mark Mostow and Paul Schweitzer – Foliation problem session
- Rob Kirby – Problems in low dimensional manifold theory [MR 520548]
- Friedhelm Waldhausen – Some problems on 3-manifolds [MR 520549]