Results 21 to 30 of about 51 (51)
ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
Forum of Mathematics, Sigma, 2018 We prove that any cyclic quadrilateral can be inscribed in any closed convex $C^{1}$ -curve. The smoothness condition is not required if the quadrilateral is a rectangle.
ARSENIY AKOPYAN, SERGEY AVVAKUMOV
doaj +1 more source
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
Coincidences and secondary Nielsen numbers [PDF]
, 2020 . Let f1, f2 : X m −→ Y n be maps between smooth connected manifolds of the indicated dimensions m and n. Can f1, f2 be deformed by homotopies until they are coincidence free (i.e. f1(x) = f2(x) for all x ∈ X )?
Ulrich Koschorke
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A Discrete Multivariate Mean Value Theorem with Applications [PDF]
, 2006 AMS classifications: 47H10; 54H25; 55M20; 90C33 ...
Yang, Z.F., Talman, A.J.J.
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Indice de Point Fixe pour les Morphismes de Chaînes [PDF]
, 2009 2000 Mathematics Subject Classification: 54H25, 55M20.The aim of this paper is to define a fixed point index for compact maps in the class of algebraic ANRs.
Cauty, Robert
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Journal of Fixed Point Theory and Applications A simple proof of the Banach contraction principle
, 2007 . We give a simple proof of the Banach contraction lemma. Mathematics Subject Classification (2000) .
Richard S Palais +2 more
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The Nielsen Coincidence Number of Maps into Tori.
, 2004 We give a formula for the Nielsen coincidence number of a pair of maps from a surface into the 2-torus. We also show that a similar formula gives the lower bound of the number of connected components of the coincidence set of a pair of maps between
Jezierski, Jerzy
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Homotopies and the universal fixed point property
, 2013 A topological space has the fixed point property if every continuous self-map of that space has at least one fixed point. We demonstrate that there are serious restraints imposed by the requirement that there be a choice of fixed points that is ...
Markus Szymik
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Rétractes Absolus de Voisinage Algébriques
, 2005 2000 Mathematics Subject Classification: 54C55, 54H25, 55M20.We introduce the class of algebraic ANRs. It is defined by replacing continuous maps by chain mappings in Lefschetz’s characterization of ANRs.
Cauty, Robert
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Model solvmanifolds for lefschetz and nielsen theories
, 2004 In this paper we construct a class of solvmanifolds and certain (diagonal type) self maps on them. These solvmanifolds and their maps serve firstly as rich source of examples. Secondly they serve as models for Nielsen theory in the sense that any map f :
Heath, Philip R, Keppelmann, Edward C
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