Poset-stratified space structures of homotopy sets
نویسندگان
چکیده
منابع مشابه
Poset Approaches to Covering-Based Rough Sets
Rough set theory is a useful and effective tool to cope with granularity and vagueness in information system and has been used in many fields. However, it is hard to get the reduct of a covering in rough sets. This paper attempts to get the reduct of a covering at a high speed in theory. It defines upset and downset based on a poset in a covering, studies the relationship between reducible elem...
متن کاملLinear Groups of Isometries with Poset Structures
Let V be an n-dimensional vector space over a finite field Fq and P = {1, 2, . . . , n} a poset. We consider on V the poset-metric dP . In this paper, we give a complete description of groups of linear isometries of the metric space (V, dP ), for any poset-metric dP . We show that a linear isometry induces an automorphism of order in poset P , and consequently we show the existence of a pair of...
متن کاملControlled Homotopy Topological Structures
Let p : E —> B be a locally trivial fiber bundle between closed manifolds where dim E > 5 and B has a handlebody decomposition. A controlled homotopy topological structure (or a controlled structure^ for short) is a map / : M —> E where M is a closed manifold of the same dimension as E and / is a p~ (ε)-equivalence for every ε > 0 (see §2). It is the purpose of this paper to develop an obstruct...
متن کاملHomotopy Coherent Structures
Naturally occurring diagrams in algebraic topology are commutative up to homotopy, but not on the nose. It was quickly realized that very little can be done with this information. Homotopy coherent category theory arose out of a desire to catalog the higher homotopical information required to restore constructibility (or more precisely, functoriality) in such “up to homotopy” settings. The firs...
متن کاملSets in homotopy type theory
Homotopy Type Theory may be seen as an internal language for the ∞category of weak ∞-groupoids which in particular models the univalence axiom. Voevodsky proposes this language for weak ∞-groupoids as a new foundation for mathematics called the Univalent Foundations of Mathematics. It includes the sets as weak ∞-groupoids with contractible connected components, and thereby it includes (much of)...
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: Homology, Homotopy and Applications
سال: 2019
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2019.v21.n2.a1