Tame homotopy theory
نویسندگان
چکیده
منابع مشابه
Tame Homotopy Theory
space is said to be rational if its homotopy groups are rational vector spaces. Quillen has shown that up to homotopy there is a one-one correspondence between rational spaces and differential graded Lie algebras over 0. Call a two-connected space tame if the divisibility of its homotopy groups increases with dimension just quickly enough to prevent stable k-invariants from appearing. We will s...
متن کاملHomotopy Theory of Homotopy Algebras
The goal of this paper is to study the homotopy theory of homotopy algebras over a Koszul operad with their infinity morphisms. The method consists in endowing the category of coalgebras over the Koszul dual cooperad with a model category structure. CONTENTS Introduction 1 1. Recollections 2 2. Model category structure for coalgebras 5 3. Conclusion 14 Appendix A. A technical lemma 15 Reference...
متن کاملHomology and Homotopy Theory Homotopy and Homology
1. TJ'he first step toward connecting these two basic concepts of topology was taken by L. E. J. Brouwer in 1912 by demonstrating that two continuous mappings of a two-dimensional sphere into itself can be continuously deformed into each other if and only if they have the same degree (that is, if they are equivalent from the point of view of homology theory). After having generalized Brouwer's ...
متن کاملAbstract Homotopy And Simple Homotopy Theory
Homotopy And Simple Homotopy Theory We may not be able to make you love reading, but abstract homotopy and simple homotopy theory will lead you to love reading starting from now. Book is the window to open the new world. The world that you want is in the better stage and level. World will always guide you to even the prestige stage of the life. You know, this is some of how reading will give yo...
متن کاملAbstract Homotopy And Simple Homotopy Theory
Homotopy And Simple Homotopy Theory Feel lonely? What about reading books? Book is one of the greatest friends to accompany while in your lonely time. When you have no friends and activities somewhere and sometimes, reading book can be a great choice. This is not only for spending the time, it will increase the knowledge. Of course the b=benefits to take will relate to what kind of book that yo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1979
ISSN: 0040-9383
DOI: 10.1016/0040-9383(79)90023-5