Taylor, Jesse H.2014-03-142014-03-141994etd-07292009-090530http://hdl.handle.net/10919/44008We prove that no disjoint union of any number of copies of even dimensional complex projective space can bound a smooth oriented compact manifold with boundary. We prove this by defining and computing certain algebraic invariants for smooth oriented manifolds. A non-diffeomorphic relationship is established between boundary manifolds and complex projective space by contrasting invariants computed for these spaces.iii, 47 leavesBTDapplication/pdfenIn CopyrightLD5655.V855 1994.T397Thesishttp://scholar.lib.vt.edu/theses/available/etd-07292009-090530/