Results 41 to 50 of about 498 (73)
Minimizing coincidence numbers of maps into projective spaces [PDF]
, 2006 In this paper we continue to study (‘strong’) Nielsen coincidence numbers (which were introduced recently for pairs of maps between manifolds of arbitrary dimensions) and the corresponding minimum numbers of coincidence points and pathcomponents.
U. Koschorke
semanticscholar +1 more source
Alexandria Engineering Journal, 2020 In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the
Sumati Kumari Panda +2 more
doaj
An easily verifiable proof of the Brouwer fixed point theorem [PDF]
, 2011 We give a remarkably elementary proof of the Brouwer fixed point theorem.
Suzuki, Tomonari, Takeuchi, Yukio
core +2 more sources
Linking and coincidence invariants [PDF]
, 2004 Given a link map f into a manifold of the form Q = N \times \Bbb R, when can it be deformed to an unlinked position (in some sense, e.g. where its components map to disjoint \Bbb R-levels) ? Using the language of normal bordism theory as well as the path
Koschorke, Ulrich
core +2 more sources
Fixed points of n-valued multimaps of the circle
, 2006 A multifunction φ : X ( Y is n-valued if φ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps φ : S ( S are classified up to homotopy by an integer-valued degree.
RobertF Brown
semanticscholar +1 more source
Maps on graphs can be deformed to be coincidence-free [PDF]
, 2010 We give a construction to remove coincidence points of continuous maps on graphs (1-complexes) by changing the maps by homotopies. When the codomain is not homeomorphic to the circle, we show that any pair of maps can be changed by homotopies to be ...
Staecker, P. Christopher
core +2 more sources
On Fox spaces and Jacobi identities [PDF]
, 2007 In 1945, R. Fox introduced the so-called Fox torus homotopy groups in which the usual homotopy groups are embedded and their Whitehead products are expressed as commutators.
Golasinski, Marek +2 more
core +3 more sources
Knaster's problem for $(Z_2)^k$-symmetric subsets of the sphere $S^{2^k-1}$
, 2009 We prove a Knaster-type result for orbits of the group $(Z_2)^k$ in $S^{2^k-1}$, calculating the Euler class obstruction. Among the consequences are: a result about inscribing skew crosspolytopes in hypersurfaces in $\mathbb R^{2^k}$, and a result about ...
A. Borel +28 more
core +2 more sources
On multiplicity of mappings between surfaces [PDF]
, 2008 Let M and N be two closed (not necessarily orientable) surfaces, and f a continuous map from M to N. By definition, the minimal multiplicity MMR[f] of the map f denotes the minimal integer k having the following property: f can be deformed into a map g ...
Bogatyi, Semeon +2 more
core +3 more sources
Coincidence theorems and minimax inequalities in abstract convex spaces
, 2011 In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Y. Je Cho +3 more
semanticscholar +1 more source