A class of $4$-manifolds which have $2$-spines
HTML articles powered by AMS MathViewer
- by Bruce Trace PDF
- Proc. Amer. Math. Soc. 79 (1980), 155-156 Request permission
Abstract:
In this note we establish the following. Theorem. Let ${M^4}$ denote a piecewise linear or smooth compact 4-manifold-with-boundary having a handle decomposition consisting of 0-, 2- and 3-handles. Then ${M^4}$ has a 2-dimensional spine if and only if ${H_3}({M^4}) = 0$.References
- Marvin J. Greenberg, Lectures on algebraic topology, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0215295
- C. P. Rourke and B. J. Sanderson, Introduction to piecewise-linear topology, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69, Springer-Verlag, New York-Heidelberg, 1972. MR 0350744
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 155-156
- MSC: Primary 57Q99; Secondary 57Q15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0560603-8
- MathSciNet review: 560603