CONTENTS Introduction............................................................................... 5 1. A technical lemma...................................................................... 7 2. Bundle of coefficients................................................................. 8 3. A remark on Lie groups............................................................. 12 4. An extension lemma .................................................................. 13 5. The simplest case. The Borsuk-Ulam theorem................... 21 6. The group structure ................................................................... 24 7. The main theorem ..................................................................... 26 8. On the set A(V, W) ...................................................................... 35 9. The multiplicative structure....................................................... 39 10. The stable range — the theorem of Segal.......................... 40 11. An application............................................................................ 42 Appendix 1........................................................................................ 45 Appendix 2........................................................................................ 45 References....................................................................................... 48
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