{"product_id":"differentiable-periodic-maps-1979","title":"Differentiable Periodic Maps","description":"\u003cp\u003e\"Differentiable Periodic Maps\" by Pierre E. Conner, Edwin Earl Floyd is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.\u003c\/p\u003e\n\u003cp\u003eThis research tract contains an exposition of our research on bordism and differentiable periodic maps done in the period 1960-62. The research grew out of the conviction, not ours alone, that the subject of transformation groups is in need of a large infusion of the modern methods of algebraic topology. This conviction we owe at least in part to Armand Borel; in particular Borel has maintained the desirability of methods in transformation groups that use differentiability in a key fashion [9, Introduction], and that is what we try to supply here. We do not try to relate our work to Smith theory, the homological study of periodic maps due to such a large extent to P. A. Smith; for a modern development of that subject which expands it greatly see the Borel Seminar notes [9]. It appears to us that our work is independent of Smith theory, but in part inspired by it. We owe a particular debt to G. D. Mostow, who pointed out to us some time ago that it followed from Smith theory that an involution on a compact manifold, or a map of prime period [italic lowercase]p on a compact orientable manifold, could not have precisely one fixed point. It was this fact that led us to believe it worthwhile to apply cobordism to periodic maps.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":46414635466951,"sku":"1-99-510-000648","price":39.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783540095354.jpg?v=1776269084","url":"https:\/\/snowflakeskies.com\/products\/differentiable-periodic-maps-1979","provider":"Snowflake Skies","version":"1.0","type":"link"}