Survey Article: An elementary illustrated introduction to simplicial sets
نویسندگان
چکیده
منابع مشابه
An elementary illustrated introduction to simplicial sets
This is an expository introduction to simplicial sets and simplicial homotopy theory with particular focus on relating the combinatorial aspects of the theory to their geometric/topological origins. It is intended to be accessible to students familiar with just the fundamentals of algebraic topology.
متن کاملAn introduction to simplicial sets
This is an elementary introduction to simplicial sets, which are generalizations of ∆-complexes from algebraic topology. The theory of simplicial sets provides a way to express homotopy and homology without requiring topology. This paper is meant to be accessible to anyone who has had experience with algebraic topology and has at least basic knowledge of category theory. An important part of si...
متن کاملAn Introduction to Simplicial Sets
Simplicial sets, and more generally simplicial objects in a given category, are central to modern mathematics. While I am not a mathematical historian, I thought I would describe in conceptual outline how naturally simplicial sets arise from the classical study of simplicial complexes. I suspect that something like this recapitulates the historical development. We have described simplicial comp...
متن کاملA Leisurely Introduction to Simplicial Sets
Simplicial sets are introduced in a way that should be pleasing to the formally-inclined. Care is taken to provide both the geometric intuition and the categorical details, laying a solid foundation for the reader to move on to more advanced topological or higher categorical applications. The highlight, and the only possibly non-standard content, is a unified presentation of every adjunction wh...
متن کاملAn Illustrated Introduction to the Infosphere
LIBRARY TRENDS, Vol. 63, No. 3, 2015 (“Exploring Philosophies of Information,” edited by Ken Herold), pp. 317–361. © 2015 The Board of Trustees, University of Illinois Abstract This introduction to Luciano Floridi’s philosophy of information (PI) provides a short overview of Floridi’s work and its reception by the library and information studies (LIS) community, brief definitions of some import...
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: Rocky Mountain Journal of Mathematics
سال: 2012
ISSN: 0035-7596
DOI: 10.1216/rmj-2012-42-2-353