Results 11 to 20 of about 2,632 (59)
Tilting theory for trees via stable homotopy theory [PDF]
, 2016 a
Groth, M., Stovicek, J.
core +1 more source
Homotopy epimorphisms and Lusternik-Schnirelmann category [PDF]
Proceedings of the American Mathematical Society, 1975 This paper examines the relationship of the LusternikSchnirelmann category and related numerical homotopy invariants to the epimorphisms in the homotopy category. The results are of the form: if N is a numerical homotopy invariant and f: X -f Y is an epimorphism, then under certain hypotheses N(X) > N(Y).
openaire +2 more sources
On weak epimorphisms in homotopy theory [PDF]
Pacific Journal of Mathematics, 1986 A weak epimorphism e is a morphism such that if \(g\circ e=0\) then \(g=0\). This notion is the Eckmann-Hilton dual to weak monomorphism. Ganea exhibited examples, in the pointed homotopy category (PHC), of weak monomorphisms that are not monomorphisms.
openaire +3 more sources
On an extension of the notion of Reedy category [PDF]
, 2008 We extend the classical notion of a Reedy category so as to allow non-trivial automorphisms. Our extension includes many important examples occuring in topology such as Segal's category Gamma, or the total category of a crossed simplicial group such as ...
Clemens Berger +3 more
core +6 more sources
Homological epimorphisms and homotopy epimorphisms
, 2019 We show that the notions of homotopy epimorphism and homological epimorphism in the category of differential graded algebras are equivalent. As an application we obtain a characterization of acyclic maps of topological spaces in terms of induced maps of their chain algebras of based loop spaces.
Chuang, Joe, Lazarev, Andrey
openaire +2 more sources
Semilocalization of epimorphisms and monomorphisms in homotopy theory
Topology and its Applications, 1998 AbstractIn this note, we prove that semilocalization of spaces preserves homotopy monomorphisms and homotopy epimorphisms which induce an isomorphism in fundamental groups, and also prove that homotopy epimorphisms preserve p-nilpotency for every prime or zero p.
Shen, Wenhuai, Zuo, Zaisi
openaire +1 more source
Characteristics for E∞ ring spectra [PDF]
, 2018 We introduce a notion of characteristic for connective p-local E∞ ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant 1 elements in the stable ...
Baker, Andrew
core +4 more sources
Behavior of Quillen (co)homology with respect to adjunctions
, 2014 This paper aims to answer the following question: Given an adjunction between two categories, how is Quillen (co)homology in one category related to that in the other? We identify the induced comparison diagram, giving necessary and sufficient conditions
Frankland, Martin
core +1 more source
Derived equivalences induced by big cotilting modules [PDF]
, 2014 We prove that given a Grothendieck category G with a tilting object of finite projective dimension, the induced triangle equivalence sends an injective cogenerator of G to a big cotilting module.
Stovicek, Jan
core +1 more source
On epimorphisms and monomorphisms in the homotopy category of CW complexes
Japanese journal of mathematics. New series, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matumoto, Takao, Ohkawa, Tetsusuke
openaire +3 more sources