AbstractLet M be a PL 2-manifold and X be a compact subpolyhedron of M and let E(X,M) denote the space of embeddings of X into M with the compact-open topology. In this paper we study an extension property of embeddings of X into M and show that the restriction map from the homeomorphism group of M to E(X,M) is a principal bundle. As an application we show that if M is a Euclidean PL 2 -manifold and dimX≥1 then the triple (E(X,M) , ELIP(X,M) , EPL(X,M)) is an (s,Σ,σ) -manifold, where EKLIP(X,M) and EKPL(X,M) denote the subspaces of Lipschitz and PL embeddings
AbstractThe proof of Štan'ko's embedding approximation theorem is simplified and extended to a relat...
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of...
AbstractIn this paper we give some characterizations of (s, Σ, σ)-, (s2, s × σ, σ2)- and (s∞, σ∞, σf...
AbstractLet M be a PL 2-manifold and X be a compact subpolyhedron of M and let E(X,M) denote the spa...
AbstractSuppose M is a 2-manifold and X is a compact polyhedron. Let E(X,M) denote the space of embe...
AbstractSuppose M is a connected PL 2-manifold and X is a compact connected subpolyhedron of M (X≠1 ...
AbstractSuppose M is a noncompact connected PL 2-manifold and let H(M)0 denote the identity componen...
AbstractThe main theorem (2.1) says that if N is an abstract regular neighborhood of a polyhedron X ...
AbstractIn this paper some homeomorphism extension theorems for infinite-dimensional manifolds are r...
AbstractWe prove the following theorem: Suppose that m ⩾ 3(n + 1)2 and that ƒ : K → Rm is a PL map o...
AbstractWe prove that there is an algorithm which determines whether or not a given 2-polyhedron can...
AbstractWeber has proved that if 2m ⩾ 3(n + 1) then an n-dimensional polyhedron K embeds in Rm if an...
We present a short proof of S. Parsa's theorem that there exists a compact $n$-polyhedron $P$, $n\ge...
AbstractWe show that the dimension restrictions in C. Weber's results on embeddings and quasi embedd...
AbstractWe have collected several open problems on graphs which arise in geometric topology, in part...
AbstractThe proof of Štan'ko's embedding approximation theorem is simplified and extended to a relat...
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of...
AbstractIn this paper we give some characterizations of (s, Σ, σ)-, (s2, s × σ, σ2)- and (s∞, σ∞, σf...
AbstractLet M be a PL 2-manifold and X be a compact subpolyhedron of M and let E(X,M) denote the spa...
AbstractSuppose M is a 2-manifold and X is a compact polyhedron. Let E(X,M) denote the space of embe...
AbstractSuppose M is a connected PL 2-manifold and X is a compact connected subpolyhedron of M (X≠1 ...
AbstractSuppose M is a noncompact connected PL 2-manifold and let H(M)0 denote the identity componen...
AbstractThe main theorem (2.1) says that if N is an abstract regular neighborhood of a polyhedron X ...
AbstractIn this paper some homeomorphism extension theorems for infinite-dimensional manifolds are r...
AbstractWe prove the following theorem: Suppose that m ⩾ 3(n + 1)2 and that ƒ : K → Rm is a PL map o...
AbstractWe prove that there is an algorithm which determines whether or not a given 2-polyhedron can...
AbstractWeber has proved that if 2m ⩾ 3(n + 1) then an n-dimensional polyhedron K embeds in Rm if an...
We present a short proof of S. Parsa's theorem that there exists a compact $n$-polyhedron $P$, $n\ge...
AbstractWe show that the dimension restrictions in C. Weber's results on embeddings and quasi embedd...
AbstractWe have collected several open problems on graphs which arise in geometric topology, in part...
AbstractThe proof of Štan'ko's embedding approximation theorem is simplified and extended to a relat...
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of...
AbstractIn this paper we give some characterizations of (s, Σ, σ)-, (s2, s × σ, σ2)- and (s∞, σ∞, σf...