Results 11 to 20 of about 313 (39)
Bourgin-Yang versions of the Borsuk-Ulam theorem for $p$-toral groups [PDF]
, 2016 Let $V$ and $W$ be orthogonal representations of $G$ with $V^G= W^G=\{0\}$. Let $S(V )$ be the sphere of $V$ and $f : S(V ) \to W$ be a $G$-equivariant mapping. We give an estimate for the dimension of the set $Z_f=f^{-1}\{0\}$ in terms of $ \dim V$ and $
de Mattos, Denise +2 more
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Revisiting Cauty′s proof of the Schauder conjecture
Abstract and Applied Analysis, Volume 2003, Issue 7, Page 407-433, 2003., 2003 The Schauder conjecture that every compact convex subset of a metric linear space has the fixed‐point property was recently established by Cauty (2001). This paper elaborates on Cauty′s proof in order to make it more detailed, and therefore more accessible.
Tadeusz Dobrowolski
wiley +1 more source
Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]
, 2018 Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
Extensions of best approximation and coincidence theorems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 689-698, 1997., 1997 Let X be a Hausdorff compact space, E a topological vector space on which E* separates points, F : X → 2E an upper semicontinuous multifunction with compact acyclic values, and g : X → E a continuous function such that g(X) is convex and g−1(y) is acyclic for each y ∈ g(X).
Sehie Park
wiley +1 more source
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
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
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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
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Parametrized Borsuk-Ulam problem for projective space bundles
, 2010 Let $\pi: E \to B$ be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let $\pi^{'}: E^{'} \to B$ be vector bundle such that $\mathbb{Z}_2$ acts fiber preserving and freely on $E$ and $E^{'}-0 ...
Singh, Mahender
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The Lefschetz-Hopf theorem and axioms for the Lefschetz number
, 2004 The reduced Lefschetz number, that is, the Lefschetz number minus 1, is proved to be the unique integer-valued function L on selfmaps of compact polyhedra which is constant on homotopy classes such that (1) L(fg) = L(gf), for f:X -->Y and g:Y -->X; (2 ...
Arkowitz, Martin, Brown, Robert F.
core +4 more sources