BACKGROUND The common primrose, Primula vulgaris, along with many other species of the Primulaceae, exhibits floral heteromorphy in which different individuals develop one of two possible forms of flower, known as pin and thrum. Both flower types are hermaphrodite and exhibit reciprocal positions of male and female reproductive structures, which together with a sporophytic incompatibility syste...

We give a Pontryagin-Thom-Szűcs type construction for non-positive codimensional singular maps, and obtain results about cobordism and bordism groups of −1 codimensional stable maps with prescribed singular fibers.

1. Smooth Manifolds: 4/7/15 1 2. The Tangent Bundle: 4/9/15 4 3. Parallelizability: 4/14/15 6 4. The Whitney Embedding Theorem: 4/16/15 8 5. Immersions, Submersions and Tubular Neighborhoods: 4/21/15 10 6. Cobordism: 4/23/15 12 7. Homotopy Theory: 4/28/15 14 8. The Pontryagin-Thom Theorem: 4/30/15 17 9. Differential Forms: 5/5/15 18 10. de Rham Cohomology, Integration of Differential Forms, and...