This e-book describes paintings, principally that of the writer, at the characterization of closed 4-manifolds by way of general invariants reminiscent of Euler attribute, basic staff, and Stiefel–Whitney periods. utilizing ideas from homological workforce thought, the speculation of 3-manifolds and topological surgical procedure, infrasolvmanifolds are characterised as much as homeomorphism, and floor bundles are characterised as much as basic homotopy equivalence. Non-orientable circumstances also are thought of anyplace attainable, and within the ultimate bankruptcy the consequences received previous are utilized to 2-knots and intricate analytic surfaces. This ebook is key analyzing for someone attracted to low-dimensional topology.
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