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Some equivalences between homotopy and derived categories
(Universidad de AllahabadÁlgebra Teoría de Números y Aplicaciones: ERMÁlgebra U de AAllahabad, India, 2022)
The Borsuk-Ulam theorem for homotopy spherical space forms
(BIRKHAUSER VERLAG AG, 2011)
In this work, we show for which odd-dimensional homotopy spherical space forms the Borsuk-Ulam theorem holds. These spaces are the quotient of a homotopy odd-dimensional sphere by a free action of a finite group. Also, the ...
Classical Morse Theory Revisited - I Backward Lambda-lemma And Homotopy Type
(Juliusz Schauder CTR Nonlinear StudiesTorun, 2016)
Homotopies for the generalized bar complex associated to certain 3-rowed Weyl modules
(Taylor & Francis IncPhiladelphiaEUA, 2006)
Strong Homotopy Types, Nerves and Collapses
(Springer, 2012-03)
We introduce the theory of strong homotopy types of simplicial complexes. Similarly to classical simple homotopy theory, the strong homotopy types can be described by elementary moves. An elementary move in this setting ...
Homotopy classification of Leavitt path algebras
(Academic Press Inc Elsevier Science, 2020-03)
In this paper we address the classification problem for purely infinite simple Leavitt path algebras of finite graphs over a field ℓ. Each graph E has associated a Leavitt path ℓ-algebra L(E). There is an open question ...
A localization of bicategories via homotopies
(Mount Allison University, 2020-06)
Given a bicategory C and a family W of arrows of C, we give conditions on the pair (C, W) that allow us to construct the bicategorical localization with respect to W by dealing only with the 2-cells, that is without adding ...
Homotopy invariance through small stabilizations
(Springer, 2013-12)
We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this ...
Classical Morse Theory Revisited – I Backward λ-lemma And Homotopy Type
(Juliusz Schauder Center for Nonlinear Studies, 2016)
Sobre aplicações cíclicas, H-espaços e grupos de Gottlieb
(Universidade Estadual Paulista (Unesp), 2021-02-26)
O objetivo desse trabalho é estudar aplicações cíclicas, tomando o artigo On cyclic maps de K. L. Lim como base. Estudamos também H-espaços e grupos de Gottlieb, que surgem naturalmente como temas centrais a partir da forte ...