منابع مشابه
Convenient Categories of Smooth Spaces
A ‘Chen space’ is a set X equipped with a collection of ‘plots’ — maps from convex sets to X — satisfying three simple axioms. While an individual Chen space can be much worse than a smooth manifold, the category of all Chen spaces is much better behaved than the category of smooth manifolds. For example, any subspace or quotient space of a Chen space is a Chen space, and the space of smooth ma...
متن کاملDirected Algebraic Topology, Categories and Higher Categories
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology groups (enriched with a preorder) and fundamental n-categories (replacing the fundamental ngroupoids of the classical case). On the other hand, directed homotopy can give geometric models for lax higher categories. Applicatio...
متن کاملAdjoint functors; categories in topology
In this section, we develop the some important categorical definitions and ideas which will be used throughout this paper. For a more complete treatment, the interested reader should consult either [ML-1971], [H-1970] or [M-1967]. Definition 1.1: A metacategory (which we typically denote as C or D) is a pair C = (OC,MC) where OC is considered to be the collection of objects of C and MC is consi...
متن کاملDerived Categories in Algebra and Topology
J. P. MAY I will give a philosophical overview of some joint work with Igor Kriz (in algebra), with Tony Elmendorf and Kriz (in topology), and with John Greenlees (in equivariant topology). I will begin with a description of some foundational issues before saying anything about the applications. This is not the best way to motivate people, but I must explain the issues involved in order to desc...
متن کاملCategories of fuzzy topology in the context of graded ditopologies on textures
This paper extends the notion of ditopology to the case where openness and closedness are given in terms of {em a priori} unrelated Drading functions. The resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. Interrelations between graded ditopologies and ditopologies on textur...
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: General Topology and its Applications
سال: 1973
ISSN: 0016-660X
DOI: 10.1016/0016-660x(72)90014-1