The space of Whitney levels is homeomorphic to
Alejandro Illanes (1993)
Colloquium Mathematicae
Similarity:
Alejandro Illanes (1993)
Colloquium Mathematicae
Similarity:
Boonpok, Chawalit (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Sibe Mardešić (1998)
Fundamenta Mathematicae
Similarity:
In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. T. Lisitsa and S. Mardešić [LM1-3] an essential role is played by coherent polyhedral (ANR) expansions of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR)...
David Fremlin, S. Grekas (1995)
Fundamenta Mathematicae
Similarity:
We investigate the products of topological measure spaces, discussing conditions under which all open sets will be measurable for the simple completed product measure, and under which the product of completion regular measures will be completion regular. In passing, we describe a new class of spaces on which all completion regular Borel probability measures are τ-additive, and which have other interesting properties.
Ryszard Doman (1995)
Fundamenta Mathematicae
Similarity:
Let G be a finite group. We prove that every rational G-connected Hopf G-space with two nontrivial homotopy group systems is G-homotopy equivalent to an infinite loop G-space.
Paul Fabel (1998)
Fundamenta Mathematicae
Similarity:
We prove that the space of orientation preserving homeomorphisms of the 2-sphere which fix pointwise a nontrivial nonseparating continuum is a contractible absolute neighborhood retract homeomorphic to the separable Hilbert space .
Young Im, Yongkuk Kim (1999)
Fundamenta Mathematicae
Similarity:
Let p: M → B be a proper surjective map defined on an (n+2)-manifold such that each point-preimage is a copy of a hopfian n-manifold. Then we show that p is an approximate fibration over some dense open subset O of the mod 2 continuity set C’ and C’ ∖ O is locally finite. As an application, we show that a hopfian n-manifold N is a codimension-2 fibrator if χ(N) ≠ 0 or
Ge, Ying (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Similarity:
Bobby Winters (1995)
Fundamenta Mathematicae
Similarity:
It is proved that two planes that are properly homotopic in a noncompact, orientable, irreducible 3-manifold that is not homeomorphic to are isotopic. The end-reduction techniques of E. M. Brown and C. D. Feustal and M. G. Brin and T. L. Thickstun are used.
Wojciech Olszewski (1994)
Fundamenta Mathematicae
Similarity:
R. Pol has shown that for every countable ordinal α, there exists a universal space for separable metrizable spaces X with ind X = α . We prove that for every countable limit ordinal λ, there is no universal space for separable metrizable spaces X with Ind X = λ. This implies that there is no universal space for compact metrizable spaces X with Ind X = λ. We also prove that there is no universal space for compact metrizable spaces X with ind X = λ.
Christof Geiß (1996)
Fundamenta Mathematicae
Similarity:
We prove that deformations of tame Krull-Schmidt bimodule problems with trivial differential are again tame. Here we understand deformations via the structure constants of the projective realizations which may be considered as elements of a suitable variety. We also present some applications to the representation theory of vector space categories which are a special case of the above bimodule problems.
Robert Cauty, Bao-Lin Guo, Katsuro Sakai (1995)
Fundamenta Mathematicae
Similarity:
It is shown that the hyperspace of non-empty finite subsets of a space X is an ANR (an AR) for stratifiable spaces if and only if X is a 2-hyper-locally-connected (and connected) stratifiable space.
Jan van Mill, Jan Pelant, Roman Pol (1996)
Fundamenta Mathematicae
Similarity:
We show that the assertions of some fundamental selection theorems for lower-semicontinuous maps with completely metrizable range and metrizable domain actually characterize topological completeness of the target space. We also show that certain natural restrictions on the class of the domains change this situation. The results provide in particular answers to questions asked by Engelking, Heath and Michael [3] and Gutev, Nedev, Pelant and Valov [5].
Johan Aarnes (1995)
Fundamenta Mathematicae
Similarity:
The main result of the paper provides a method for construction of regular non-subadditive measures in compact Hausdorff spaces. This result is followed by several examples. In the last section it is shown that “discretization” of ordinary measures is possible in the following sense. Given a positive regular Borel measure λ, one may construct a sequence of non-subadditive measures , each of which only takes a finite set of values, and such that converges to λ in the w*-topology. ...