On Cartesian powers of 2-polyhedra
On topological factors of 3 dimensional locally connected continuum embeddable in
On decomposition of polyhedra into a Cartesian product of 1-dimensional and 2-dimensional factors
On decomposition of 3-polyhedra into a Cartesian product
On a problem of S. Ulam concerning Cartesian squares of 2-dimensional polyhedra
On embeddability of cones in euclidean spaces
On stability of 3-manifolds
We address the following question: How different can closed, oriented 3-manifolds be if they become homeomorphic after taking a product with a sphere? For geometric 3-manifolds this paper provides a complete answer to this question. For possibly non-geometric 3-manifolds, we establish results which concern 3-manifolds with finite fundamental group (i.e., 3-dimensional fake spherical space forms) and compare these results with results involving fake spherical space forms of higher...
Cocycle invariants of codimension 2 embeddings of manifolds
We consider the classical problem of a position of n-dimensional manifold Mⁿ in . We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycle for a fundamental quandle of a knotting . In particular, we show that for any fixed quandle, quandle coloring, and shadow quandle coloring, of a diagram of Mⁿ embedded in we have (n+1)- and (n+2)-(co)cycle invariants (i.e. invariant under Roseman moves).
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