Results 71 to 80 of about 933 (203)
Stable self-homotopy equivalences
Topology and its Applications, 2010 Let \(X, Y\) be spaces (in practice finite polyhedra), and \[ \{X,Y\}= \varinjlim_k [\Sigma^k\; X, \Sigma^k\; Y], \] then \(\{X,X\}= \text{End}(X)\) is a ring and Aut\((X)\)= all invertible elements of End\((X),\) is a group. The main issue of the present paper is to reprove known results about the algebraic structure of End\((X)\) as well as that of ...
openaire +1 more source
On the group of self-homotopy equivalences of $H$-spaces of rank 2 [PDF]
, 1981 Mamoru Mimura, Norichika Sawashita
openalex +1 more source
Globalizing weak homotopy equivalences
Topology and its Applications, 2000 \textit{A. Dold} and \textit{R. Thom} introduced and studied quasifibrations and, in particular, they proved the quasifibration theorem which asserts, roughly speaking, that a map is a quasifibration if it is locally one [Ann. Math. (2) 67, 239-281 (1958; Zbl 0091.37102)].
openaire +1 more source
Finite Complexes Whose Self-Homotopy Equivalence Groups Realize the Infinite Cyclic Group [PDF]
, 1994 Kenichi Maruyama
openalex +1 more source
Mathematische Zeitschrift, 1992 Shape theory is employed to show, for any compact polyhedra X, Y and any continuous maps a: \(X\to X\), b: \(Y\to Y\), that if the respective shift maps \(\sigma_ a\), \(\sigma_ b\) on the simple inverse limits \(\Sigma_ a=\lim_{\leftarrow}(X,a)\), \(\Sigma_ b=\lim_{\leftarrow}(Y,b)\) are topologically conjugate, then a, b are shift equivalent in ...
openaire +2 more sources
The Adams–Hilton model and the group of self-homotopy equivalences of a simply connected CW-complex [PDF]
, 2019 Mahmoud Benkhalifa
openalex +1 more source
Nontangential homotopy equivalences [PDF]
Pacific Journal of Mathematics, 1971 openaire +3 more sources
Homotopy equivalences induced by balanced pairs
Journal of Algebra, 2010 We introduce the notion of balanced pair of additive subcategories in an abelian category. We give sufficient conditions under which the balanced pair of subcategories gives rise to equivalent homotopy categories of complexes. As an application, we prove that for a left-Gorenstein ring, there exists a triangle-equivalence between the homotopy category ...
openaire +2 more sources
A quotient group of the group of self homotopy equivalences of SO(4) [PDF]
, 2008 Hideaki Ōshima
openalex +1 more source
Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
europepmc +1 more source