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Two infinite classes of perfect codes in metrically regular graphs

J.A Thas
1977 Journal of combinatorial theory. Series B (Print)  
A new such infinite class of perfect 1 codes, and also a new infinite class of antipodal graphs, will be defined in this paper.  ...  If rr maps Ii onto the threespace ljlk , then 7~ maps IiT onto the threespace Ijslk7. From this remark it follows easily that 7~ maps 4 onto the threespace I$, , where {i,j, k} = (1,2, 3).  ... 
doi:10.1016/0095-8956(77)90035-1 fatcat:lozlsomip5bzlh5t2nxwiqqwte

s-covering maps with complete fibers

A.V. Ostrovsky
2000 Topology and its Applications  
We prove that if X is a Borel set of the multiplicative class α then Y is a Borel set of the multiplicative class 3 + α.  ...  The question of whether f is inductively perfect has been recently negatively solved by Debs and Saint Raymond.  ...  In Section 1 we give some new conditions under which an s-covering map f is inductively perfect.  ... 
doi:10.1016/s0166-8641(98)00140-0 fatcat:brlgue5phnadvbcxkwdxyufdfu

Identification and Mapping of Simple Sequence Repeat Markers from Common Bean (Phaseolus vulgaris L.) Bacterial Artificial Chromosome End Sequences for Genome Characterization and Genetic–Physical Map Integration

Juana M. Córdoba, Carolina Chavarro, Fernando Rojas, Claritza Muñoz, Matthew W. Blair
2010 The Plant Genome  
Together with 92 previously mapped BES-and 114 non-BES-derived markers, a total of 280 SSRs were included in the polymerase chain reaction (PCR)based map, integrating a total of 8232 BAC clones in 162  ...  A subgroup of 323 AT-rich, di-, and trinucleotide SSRs were selected from the AMMD results and used in a parental survey with DOR364 and G19833, of which 75 could be mapped in the corresponding population  ...  Acknowledgments We acknowledge Fernando Niño of the National University of Colombia -Bogotá for advice on this work and on programming; Fredy Monserrate for computational assistance; Agobardo Hoyos for  ... 
doi:10.3835/plantgenome2010.06.0013 fatcat:wxi77wkomvbwlehfwnewbjwmie

Page 2543 of Genetics Vol. 172, Issue 4 [page]

2006 Genetics  
Because rates of SSR mutation are positively correlated with SSR length (ELLEGREN 2004), we divided SSRs into two classes based on size (class 1, 220 bp; class II, 12 to =19 bp).  ...  Using this strategy we integrated 320 new SSR markers and 29 non-SSR markers into the existing genetic map.  ... 

Page 179 of Mathematical Reviews Vol. 47, Issue 1 [page]

1974 Mathematical Reviews  
Part II: Elegant applications of factorization theorems yield the known fact that the category of Hausdorff spaces and perfect maps has enough projectives and the new fact that the category of topological  ...  The author considers several classes @ of maps of metric spaces X into Fréchet spaces F, e.g., the class of locally uniformly continuous maps.  ... 

Page 258 of Mathematical Reviews Vol. 49, Issue 1 [page]

1975 Mathematical Reviews  
A compactification CX of X is said to be weakly } perfect [perfect] if the natural mapping of the Cech-Stone compactification BX onto CX is a A-mapping [monotone, ie., preimages of points are connected  ...  Japan Acad. 44 (1968), 897-900; ibid. 44 (1968), 901-903; MR 38 #3815] have 1479 introduced a new class of spaces, somewhat smaller than. M-spaces, called class €.  ... 

ReadXplorer 2—detailed read mapping analysis and visualization from one single source

Rolf Hilker, Kai Bernd Stadermann, Oliver Schwengers, Evgeny Anisiforov, Sebastian Jaenicke, Bernd Weisshaar, Tobias Zimmermann, Alexander Goesmann
2016 Bioinformatics  
Finally, the new version is now able to display any kind of tabular results from other bioinformatics tools.  ...  Appropriate handling of multiple mapped reads during mapping analyses remains an issue that demands improvement.  ...  Acknowledgements The authors thank the members of the Bioinformatics Core Facility of the Justus-Liebig University Giessen, the members of the Genome Research Team and the Bioinformatics Resource Facility  ... 
doi:10.1093/bioinformatics/btw541 pmid:27540267 pmcid:PMC5167064 fatcat:u6sjtvsxrjhnxnmooufvse23ne


1999 Topology  
the ¼-nullification of X; that is, the natural map XPX> is homotopy initial among maps XP½ where the based mapping space map * (¼, ½ ) is weakly contractible.  ...  We exhibit a two-dimensional, acyclic, Eilenberg-Mac Lane space ¼ such that, for every space X, the plusconstruction X> with respect to the largest perfect subgroup of (X) coincides, up to homotopy, with  ...  Acknowledgements-The second-named author is grateful to the National University of Singapore for its kind hospitality during preliminary work on this article.  ... 
doi:10.1016/s0040-9383(97)00073-6 fatcat:xans2eggmvfjzedblovem6ajcq

Confluent and related mappings defined by means of quasi-components

Joachim Grispolakis
1978 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
Charatonik in [1] introduced a new class of mappings, the so-called confluent mappings, which comprises the classes of open, monotone and quasi-interior mappings (see [20]). In 1966, A.  ...  In this paper, we introduce some new classes of mappings defined by means of quasi-components, which comprise the classes of open, monotone and quasiinterior mappings but which are contained in the classes  ...  In this diagram by (M-c), (h-c), (c), etc. we denote the classes of perfect mappings which satisfy these conditions respectively.  ... 
doi:10.4153/cjm-1978-010-x fatcat:7t4nlwz4lvbglhapt6asfnjwua

Page 3917 of Mathematical Reviews Vol. , Issue 87g [page]

1987 Mathematical Reviews  
He explicitly finds a new family of electrovac Petrov type II solutions to the Einstein- Maxwell equations with cosmologi- cal constant.  ...  [Das, Anadijiban] (3-SFR) A new class of interior solutions for a stress-energy tensor of Segre characteristic {111, 1]. Gen. Relativity Gravitation 18 (1986), no. 1, 93-103.  ... 

An unpublished theorem of Solovay, revisited [article]

Ali Enayat, Vladimir Kanovei
2020 arXiv   pre-print
A definable pair of disjoint non-OD sets of reals (hence, indiscernible sets) exists in the Sacks and E_0-large generic extensions of the constructible universe L.  ...  : a perfect X ′ ⊆ X and an ordinal α < ω 1 such that B α , E α corralls f ↾ X ′ ; (ii) if X, R ⊆ 2 ω are perfect sets, then there exist: a perfect set Y ⊆ X , an ordinal α < ω 1 , and Borel 1-1 maps f,  ...  In the "or" case of Theorem 3.1 we have (II). In the "either" case pick an uncountable equivalence class C and let Y ⊆ C be any perfect set. Corollary 3.3.  ... 
arXiv:2001.11058v4 fatcat:pv4ma7w4jbartn3pmvfqod7oy4

Distribution of Microsatellites in the Genome of Medicago truncatula: A Resource of Genetic Markers That Integrate Genetic and Physical Maps

J.-H. Mun
2005 Genetics  
With the goal of using microsatellite markers to integrate the physical and genetic maps of Medicago truncatula, we surveyed the frequency and distribution of perfect microsatellites in 77 Mbp of gene-rich  ...  A total of 1,236 microsatellites were analyzed for polymorphism between parents of our reference intraspecific mapping population, revealing that motifs (AT) n , (AG) n , (AC) n , and (AAT) n exhibit the  ...  We thank Eric Boehlke and Ryan Bretzel from the University of Minnesota for their technical assistance and G. Cardinet and Thierry Huguet for providing knowledge of certain SSR markers.  ... 
doi:10.1534/genetics.105.054791 pmid:16489220 pmcid:PMC1456377 fatcat:e2l4l2bfi5e5vaazqhlaka7fxy

Page 619 of Mathematical Reviews Vol. , Issue 81B [page]

1981 Mathematical Reviews  
Two classes of maps which are wider than the class of perfect maps are studied: (i) locally perfect maps [see N. Krolevec, Dokl. Akad.  ...  Nauk SSSR 175 (1967), 1008-1011; MR 36 #2121] and (ii) Cech-complete maps (a mapping f: XY of completely regular spaces X and Y is Cech-complete if there is a perfect extension /: XY of f such that X is  ... 


Ardemirio de Barros Silva, Jocimara Souza Britto Lobão, Edson Eyji Sano
2017 Revista Brasileira de Cartografia  
New technologies have enabled the dissemination of maps. Maps are commonly produced either by sophisticated image processing techniques or by more conventional methods.  ...  Therefore, defining the limits of the use of maps by measuring their associated errors is essential.  ...  Others +i -ii N -[ii + (i+ - ii) = (+i -ii)] {N -[ii + (i+ -ii) + (+i -ii)]} = (+i -ii) +i {N -[ii + (i+ - ii) + (+i -ii)} + (i+ -ii) N The extent and the exclusion errors are calculated  ... 
doaj:79f9e7ce6d724c2589abeb0a8301b426 fatcat:3ebmvhyahbcvdbjngeasn5bim4

On $Z_{2^k}$-Dual Binary Codes

Denis S. Krotov
2007 IEEE Transactions on Information Theory  
of the new generalized Gray map.  ...  A new generalization of the Gray map is introduced.  ...  The new way to generalize the Gray map (Subsection II-B) and its duality (Section III) to the "old way" are the main results of the first part of the paper.  ... 
doi:10.1109/tit.2007.892787 fatcat:mmndf2psijc7xovgwrlr5h6o2q
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