On a problem of S. Ulam concerning Cartesian squares of 2-dimensional polyhedra
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Witold Rosicki (1987)
Fundamenta Mathematicae
Ivanov, Sergei V. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Witold Rosicki (1990)
Colloquium Mathematicae
Witold Rosicki (1990)
Fundamenta Mathematicae
Antonio Vidal (1988)
Publicacions Matemàtiques
We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed point free map if and only if the...
Tomasz Bortnik (1987)
Colloquium Mathematicae
Ronald C. Read (1978)
Aequationes mathematicae
Ronald C. Read (1978)
Aequationes mathematicae
Karol Borsuk, Anna Gmurczyk (1980)
Fundamenta Mathematicae
Joe Brandenburg, M. Dyer (1981)
Commentarii mathematici Helvetici
Kapitza, Paul J. (2011)
The New York Journal of Mathematics [electronic only]
Maxim Sokolov (1998)
Banach Center Publications
Emmanuel Vrontakis (2006)
Commentationes Mathematicae Universitatis Carolinae
It is proved that for every two points in the visual boundary of the universal covering of a -dimensional ideal polyhedron, there is an infinity of paths joining them.
Crisp, John (2002)
Algebraic & Geometric Topology
R. Ayala, M. J. Chávez, Alberto Márquez, Antonio Quintero (2002)
Mathematica Bohemica
In this note we show that -skeletons and -skeletons of -pseudomanifolds with full boundary are -connected graphs and -connected -complexes, respectively. This generalizes previous results due to Barnette and Woon.
Heiner Zieschang (1973)
Mathematische Annalen
Frank Harary, Ronald H. Rosen (1976)
Colloquium Mathematicae
Chung-wu Ho (1979)
Mathematische Annalen
M. Cárdenas, F.F. Lasheras, A. Quintero, D. Repovs (2009)
Revista Matemática Iberoamericana
Fredric D. Ancel, Julia M. Wilson (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
We explore the interior geometry of the CAT(0) spaces , constructed by Croke and Kleiner [Topology 39 (2000)]. In particular, we describe a diffraction effect experienced by the family of geodesic rays that emanate from a basepoint and pass through a certain singular point called a triple point, and we describe the shadow this family casts on the boundary. This diffraction effect is codified in the Transformation Rules stated in Section 3 of this paper. The Transformation Rules have various applications....
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