Basically bounded functors and flat sheaves
نویسندگان
چکیده
منابع مشابه
Conditionally flat functors on spaces and groups
Consider a fibration sequence F → E → B of topological spaces which is preserved as such by some functor L, so that LF → LE → LB is again a fibration sequence. Pull the fibration back along an arbitrary map X → B into the base space. Does the pullback fibration enjoy the same property? For most functors this is not to be expected, and we concentrate mostly on homotopical localization functors. ...
متن کاملYoneda Representations of Flat Functors and Classifying Toposes
We obtain semantic characterizations, holding for any Grothendieck site (C, J), for the models of a theory classified by a topos of the form Sh(C, J) in terms of the models of a theory classified by a topos [C,Set]. These characterizations arise from an appropriate representation of flat functors into Grothendieck toposes based on an application of the Yoneda Lemma in conjunction with ideas fro...
متن کاملCoherent Sheaves and Cohesive Sheaves
We consider coherent and cohesive sheaves of O–modules over open sets Ω ⊂ Cn. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat. To Linda Rothschild on her birthday
متن کاملFuzzy Acts over Fuzzy Semigroups and Sheaves
lthough fuzzy set theory and sheaf theory have been developed and studied independently, Ulrich Hohle shows that a large part of fuzzy set theory is in fact a subfield of sheaf theory. Many authors have studied mathematical structures, in particular, algebraic structures, in both categories of these generalized (multi)sets. Using Hohle's idea, we show that for a (universal) algebra $A$, th...
متن کاملSheaves on fibered threefolds and quiver sheaves
This paper classifies a class of holomorphic D-branes, closely related to framed torsion-free sheaves, on threefolds fibered in resolved ADE surfaces over a general curve C, in terms of representations with relations of a twisted Kronheimer– Nakajima-type quiver in the category Coh(C) of coherent sheaves on C. For the local Calabi–Yau case C ∼= A and special choice of framing, one recovers the ...
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: Pacific Journal of Mathematics
سال: 1975
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1975.57.597