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SPACES THAT ARE CONNECTED BUT NOT PATHCONNECTED
"... A topological space X is called connected if it’s impossible to write X as a union of two nonempty disjoint open subsets: if X = U ∪ V where U and V are open subsets of X and U ∩ V = ∅ then one of U or V is empty. Intuitively, this means X consists of one piece. A subset of a topological space is c ..."
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A topological space X is called connected if it’s impossible to write X as a union of two nonempty disjoint open subsets: if X = U ∪ V where U and V are open subsets of X and U ∩ V = ∅ then one of U or V is empty. Intuitively, this means X consists of one piece. A subset of a topological space
PathConnectivity of TwoInterval MSF Wavelets
"... Abstract. In this paper, we obtain that the space W2 of minimally supported frequency wavelets, the supports of whose Fourier transforms consist of two intervals, is pathconnected. 1. ..."
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Abstract. In this paper, we obtain that the space W2 of minimally supported frequency wavelets, the supports of whose Fourier transforms consist of two intervals, is pathconnected. 1.
THE SET OF UNIQUELY ERGODIC IETS IS PATHCONNECTED
"... Abstract. Let pi be a nondegenerate permutation on at least 4 symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation pi is pathconnected. Figure 1. A path of uniquely ergodic 4IETs 1. ..."
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Abstract. Let pi be a nondegenerate permutation on at least 4 symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation pi is pathconnected. Figure 1. A path of uniquely ergodic 4IETs 1.
The selementary wavelets are pathconnected
 Proc. Amer. Math. Soc
, 1999
"... Abstract. A construction of wavelet sets containing certain subsets of R is given. The construction is then modified to yield a continuous dependence on the underlying subset, which is used to prove the pathconnectedness of the selementary wavelets. A generalization to Rn is also considered. A fun ..."
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Cited by 27 (6 self)
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Abstract. A construction of wavelet sets containing certain subsets of R is given. The construction is then modified to yield a continuous dependence on the underlying subset, which is used to prove the pathconnectedness of the selementary wavelets. A generalization to Rn is also considered. A
COVERING MAPS FOR LOCALLY PATHCONNECTED SPACES
, 2008
"... We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally pathconnected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locall ..."
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Cited by 2 (1 self)
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We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally pathconnected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all
Insertion sequences
 Microbiol Mol. Biol. Rev
, 1998
"... These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from ..."
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Cited by 426 (3 self)
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These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from
Proving Conjectures by Use of Interval Arithmetic
 Facius Axel: Perspective on Enclosure Methods
, 2001
"... Machine interval arithmetic has become an important tool in computer assisted proofs in analysis. Usually, an interval arithmetic computation is just one of many ingredients in such a proof. The purpose of this contribution is to highlight and to summarize the role of interval arithmetic in some out ..."
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Cited by 8 (0 self)
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Machine interval arithmetic has become an important tool in computer assisted proofs in analysis. Usually, an interval arithmetic computation is just one of many ingredients in such a proof. The purpose of this contribution is to highlight and to summarize the role of interval arithmetic in some
ON UNIVERSALITY OF FINITE POWERS OF LOCALLY PATHCONNECTED MEAGER SPACES BY
"... Abstract. It is shown that for every integer n the (2n + 1)th power of any locally pathconnected metrizable space of the rst Baire category isA1[n]universal, i.e., contains a closed topological copy of each at most ndimensional metrizable compact space. Also a onedimensional compact absolute r ..."
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Abstract. It is shown that for every integer n the (2n + 1)th power of any locally pathconnected metrizable space of the rst Baire category isA1[n]universal, i.e., contains a closed topological copy of each at most ndimensional metrizable compact space. Also a onedimensional compact absolute
Results 1  10
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1,124,287