# Topology and its Applications

Topology and its Applications > 1995 > 61 > 1 > 61-84

^{b}(X) of bounded continuous real-valued functions of a supercomplete uniform space X is investigated. With the help of our results we prove that for the Menger curve μ

^{1}the space C

^{b}

_{h}(μ

^{1}) is a universal uniform coretract for the spaces...

Topology and its Applications > 1995 > 61 > 1 > 85-94

Topology and its Applications > 1995 > 61 > 1 > 95-99

Topology and its Applications > 1995 > 61 > 1 > 1-59

Topology and its Applications > 1995 > 61 > 2 > 137-150

Topology and its Applications > 1995 > 61 > 2 > 187-203

Topology and its Applications > 1995 > 61 > 2 > 115-135

_{H}(f;f , i) can, in certain cases, be expressed in terms of the...

Topology and its Applications > 1995 > 61 > 2 > 151-158

^{2}with the property that every straight line intersects it in exactly two points. A set with this property is called a Mazurkiewicz set. A nondegenerate subset X of E

^{2}is a generalized Mazurkiewicz set if each line that separates two points of X intersects X in exactly two points. We prove that a generalized...

Topology and its Applications > 1995 > 61 > 2 > 101-114

^{-}

^{1}f (A) = A. It is proved that cleavability over the class of all Tychonoff (metrizable) spaces of weight τ is preserved by open perfect maps. The former survives also open compact maps onto normal spaces. Relevant examples are given...

Topology and its Applications > 1995 > 61 > 2 > 159-177

_{K}, called the entropy ofK . Algebraic lower-bound estimates of the entropy are, like h

_{K}itself, sensitive n-knot invariants, and we describe them. We extend the definition of entropy in a natural way for any 1-knot. We prove a finiteness theorem, a corollary of which implies that entropy and genus determine any fibered 1-knot...

Topology and its Applications > 1995 > 61 > 2 > 179-186

^{n}

^{-}

^{1}→ N

^{n}be an immersion with normal crossings from a compact connected (n - 1)-manifold M into a connected, open or compact n-manifold N, where M and N can have boundaries. In this paper, we give a necessary and sufficient condition for f to be an embedding using the number of connected components of N - f(M). We also obtain an estimate from the above for the...

Topology and its Applications > 1995 > 61 > 3 > 205-214

^{2}knots. It is shown that the function has several attractive qualities: it is scale invariant; it blows up if the knot is self-interesecting (so that on the energy hypersurface knot types are separated by infinitely high potential walls); it has a relatively simple definition and a pseudo-physical interpretation.

Topology and its Applications > 1995 > 61 > 3 > 241-256

Topology and its Applications > 1995 > 61 > 3 > 229-240

^{3}, by the topological types of its 2-fold and 4-fold cyclic branched coverings. We obtain also sufficient conditions on a π-hyperbolic link to be determined by its 2-fold branched covering.

Topology and its Applications > 1995 > 61 > 3 > 293-299

Topology and its Applications > 1995 > 61 > 3 > 215-227

Topology and its Applications > 1995 > 61 > 3 > 281-292

^{k}-defining spectrum and give alternative proofs of some results of Menger manifolds, including the Characterization Theorem.

Topology and its Applications > 1995 > 61 > 3 > 257-279

_{1}, T

_{2}T

_{n}and a 2n-strand tangle S. Under some...

Topology and its Applications > 1995 > 62 > 1 > 65-76

_{1}and t

_{2}in a ball or handlebody V are parallel. A necessary and sufficient condition of t

_{1}and t

_{2}being parallel given in this paper is as follows: V - int N(t

_{1}t

_{2}) (V - intN (t

_{i})) (a solid torus) for i = 1 and 2, where denotes boundary connected sum.

Topology and its Applications > 1995 > 62 > 1 > 77-85