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Locally Connected Spaces
"... Summary. This article is a continuation of [6]. We define a neighbourhood of a point and a neighbourhood of a set and prove some facts about them. Then the definitions of a locally connected space and a locally connected set are introduced. Some theorems on locally connected spaces are given (based ..."
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Summary. This article is a continuation of [6]. We define a neighbourhood of a point and a neighbourhood of a set and prove some facts about them. Then the definitions of a locally connected space and a locally connected set are introduced. Some theorems on locally connected spaces are given (based
ON PRIME ENDS AND LOCAL CONNECTIVITY
, 2008
"... Abstract. Let U ⊂ Ĉ be a simply connected domain whose complement K = Ĉ \ U contains more than one point. We show that the impression of a prime end of U contains at most two points at which K is locally connected. This is achieved by establishing a characterization of local connectivity of K at a p ..."
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Abstract. Let U ⊂ Ĉ be a simply connected domain whose complement K = Ĉ \ U contains more than one point. We show that the impression of a prime end of U contains at most two points at which K is locally connected. This is achieved by establishing a characterization of local connectivity of K at a
Locally connected recursion categories
, 2006
"... Abstract. A recursion category is locally connected if connected domains are jointly epimorphic. New proofs of the existence of noncomplemented and recursively inseparable domains are given in a locally connected category. The use of local connectedness to produce categorical analogs of undecidable ..."
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Abstract. A recursion category is locally connected if connected domains are jointly epimorphic. New proofs of the existence of noncomplemented and recursively inseparable domains are given in a locally connected category. The use of local connectedness to produce categorical analogs
On hereditarily locally connected spaces
 Houston J. Math
"... ABSTRACT: Compact hereditarily locally connected (hlc) metric spaces have been studied extensively by many authors (see Whyburn [16] and Kuratowski [7]). This paper is concerned with noncompact, separable, metric hlc spaces. Several properties of topological spaces are known to characterize hlc cont ..."
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Cited by 4 (4 self)
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ABSTRACT: Compact hereditarily locally connected (hlc) metric spaces have been studied extensively by many authors (see Whyburn [16] and Kuratowski [7]). This paper is concerned with noncompact, separable, metric hlc spaces. Several properties of topological spaces are known to characterize hlc
ON PRIME ENDS AND LOCAL CONNECTIVITY
, 2007
"... Dedicated to the memory of Professor Gerald Schmieder Abstract. Let U ⊂ Ĉ be a simply connected domain whose complement K = Ĉ \ U contains more than one point. We show that the impression of a prime end of U contains at most two points in which K is locally connected. We do so by establishing a char ..."
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Dedicated to the memory of Professor Gerald Schmieder Abstract. Let U ⊂ Ĉ be a simply connected domain whose complement K = Ĉ \ U contains more than one point. We show that the impression of a prime end of U contains at most two points in which K is locally connected. We do so by establishing a
QUASI LOCALLY CONNECTED TOPOSES
"... Abstract. We have shown [2, 4] that complete spreads (with a locally connected domain) over a bounded topos E (relative to S) are ‘comprehensive ’ in the sense that they are precisely the second factor of a factorization associated with an instance of the comprehension scheme [8, 12] involving Sval ..."
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Abstract. We have shown [2, 4] that complete spreads (with a locally connected domain) over a bounded topos E (relative to S) are ‘comprehensive ’ in the sense that they are precisely the second factor of a factorization associated with an instance of the comprehension scheme [8, 12] involving S
Locally Connected Recurrent Networks
, 1995
"... The fully connected recurrent network (FRN) using the online training method, Real Time Recurrent Learning (RTRL), is computationally expensive. It has a computational complexity of O(N 4 ) and storage complexity of O(N 3 ), where N is the number of noninput units. We have devised a locally ..."
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locally connected recurrent model which has a much lower complexity in both computational time and storage space. The ringstructure recurrent network (RRN), the simplest kind of the locally connected has the corresponding complexity of O(mn+np) and O(np) respectively, where p, n and m are the number
Dimensionsgrad For Locally Connected Polish Spaces
"... It is shown that for every n # 2 there exists an ndimensional locally connected Polish space with Dimensionsgrad 1. ..."
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It is shown that for every n # 2 there exists an ndimensional locally connected Polish space with Dimensionsgrad 1.
GPSless Low Cost Outdoor Localization For Very Small Devices
"... Instrumenting the physical world through large networks of wireless sensor nodes, particularly for applications like environmental monitoring of water and soil, requires that these nodes be very small, light, untethered and unobtrusive. The problem of localization, i.e., determining where a given n ..."
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Cited by 983 (27 self)
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in these networks. In this paper, we review localization techniques and evaluate the effectiveness of a very simple connectivitymetric method for localization in outdoor environments that makes use of the inherent radiofrequency (RF) communications capabilities of these devices. A fixed number of reference points
Myrinet: A GigabitperSecond Local Area Network
 IEEE Micro
, 1995
"... Abstract. Myrinet is a new type of localarea network (LAN) based on the technology used for packet communication and switching within "massivelyparallel processors " (MPPs). Think of Myrinet as an MPP messagepassing network that can span campus dimensions, rather than as a widea ..."
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Cited by 1004 (0 self)
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Abstract. Myrinet is a new type of localarea network (LAN) based on the technology used for packet communication and switching within "massivelyparallel processors " (MPPs). Think of Myrinet as an MPP messagepassing network that can span campus dimensions, rather than as a wide
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