AbstractAn example of a cellular mapping between polyhedra P and Q with the property that, for all n, P×Rn is not homeomorphic to Q×Rn is discussed. It is shown that for a cell-like decomposition G of a polyhedron P such that P/G is finite-dimensional, there is a countable-dimensional manifold σ such that PG×σ is homeomorphic to P× σ
AbstractLet Y be a finite full subcomplex of a simplicial complex X. For any subdivision X′ of X kee...
Let G be a usc decomposition of Sn, HG denote the set of nonde-generate elements and pi be the natur...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
AbstractAn example of a cellular mapping between polyhedra P and Q with the property that, for all n...
AbstractA compact subset X of a polyhedron P is cellular in P if there is a pseudoisotropy of P shri...
AbstractGeneral position properties are introduced which measure the complexity of 2-cell images inh...
AbstractDenote by σ the subspace of the Hilbert cube consisting of {(xi): xi=0 for all but finitely ...
AbstractThis paper represents a survey concerning cell-like decompositions of manifolds. Primarily i...
AbstractSuppose X and Y are locally compact finite dimensional metric spaces and f:X ↠ Y is a map. T...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
ABSTRACT. The main result is the title theorem asserting that if G is an upper semicontinuous decomp...
ABSTRACT. It is shown that cell-like mappings with 1-dimensional fibers defined on 3-dimensional pol...
AbstractFor each n greater than 4 and for each positive k less than n, examples of generalized n-man...
There is a dual pair of cellular decompositions of the 3-sphere both realizable as geometric complex...
Abstract. Topologically stable cellular partitions of D-dimensional spaces are studied. A complete s...
AbstractLet Y be a finite full subcomplex of a simplicial complex X. For any subdivision X′ of X kee...
Let G be a usc decomposition of Sn, HG denote the set of nonde-generate elements and pi be the natur...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
AbstractAn example of a cellular mapping between polyhedra P and Q with the property that, for all n...
AbstractA compact subset X of a polyhedron P is cellular in P if there is a pseudoisotropy of P shri...
AbstractGeneral position properties are introduced which measure the complexity of 2-cell images inh...
AbstractDenote by σ the subspace of the Hilbert cube consisting of {(xi): xi=0 for all but finitely ...
AbstractThis paper represents a survey concerning cell-like decompositions of manifolds. Primarily i...
AbstractSuppose X and Y are locally compact finite dimensional metric spaces and f:X ↠ Y is a map. T...
Graduation date: 2008Cellular sets in the Hilbert cube are the intersection of nested sequences of n...
ABSTRACT. The main result is the title theorem asserting that if G is an upper semicontinuous decomp...
ABSTRACT. It is shown that cell-like mappings with 1-dimensional fibers defined on 3-dimensional pol...
AbstractFor each n greater than 4 and for each positive k less than n, examples of generalized n-man...
There is a dual pair of cellular decompositions of the 3-sphere both realizable as geometric complex...
Abstract. Topologically stable cellular partitions of D-dimensional spaces are studied. A complete s...
AbstractLet Y be a finite full subcomplex of a simplicial complex X. For any subdivision X′ of X kee...
Let G be a usc decomposition of Sn, HG denote the set of nonde-generate elements and pi be the natur...
AbstractIn this paper we give the hard technical details for the author's recent proof that any cell...
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