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A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is written in an easily understandable style and employs only naive set theory, general topology, analysis, and algebra. A large number of interesting exercises are given throughout the text.
Differential equations --- Borel sets. --- Ensembles boréliens --- Borel sets --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Algebra --- Mathematics. --- Mathematical logic. --- Topology. --- Mathematical Logic and Foundations. --- Logic, Symbolic and mathematical. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism --- B-measurable sets --- B-sets --- Borel-measurable sets --- Borel subsets --- Borelian sets --- Subsets, Borel --- Analytic sets --- Topology --- Ensembles, Théorie descriptive des --- Mesure, Théorie de la
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The genesis of the volume, Plant Biotechnology and Molecular Markers, has been the occasion of the retirement of Professor Sant Saran Bhojwani from the Department of Botany, University of Delhi. For Professor Bhojwani, retirement only means relinquishing the chair as being a researcher and a teacher which has always been a way of life to him. Professor Bhojwani has been an ardent practitioner of modern plant biology and areas like Plant Biotechnology and Molecular Breeding have been close to his heart. The book contains original as well as review articles contributed by his admirers and associates who are experts in their area of research. While planning this contributory book our endeavour has been to incorporate articles that cover the entire gamut of Plant Biotechnology, and also applications of Molecular Markers. Besides articles on in vitro fertilization and micropropagation, there are articles on forest tree improvement through genetic engineering. Considering the importance of conservation of our precious natural wealth, one article deals with cryopreservation of plant material. Chapter on molecular marker considers DNA indexing as markers of clonal fidelity of in vitro regenerated plants and prevention against bio-piracy. A couple of write-ups also cover stage-specific gene markers, DNA polymorphism and genetic engineering, including raising of stress tolerant plants to sustain productivity and help in reclamation of degraded land.
Plant biotechnology. --- Genetic polymorphisms. --- Polymorphisms, Genetic --- Crop biotechnology --- Crops --- Plants --- Biotechnology --- Population genetics --- Agricultural biotechnology --- Biotechnology. --- Agriculture. --- Botany. --- Biochemistry. --- Plant Sciences. --- Biochemistry, general. --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Biology --- Chemistry --- Medical sciences --- Botanical science --- Phytobiology --- Phytography --- Phytology --- Plant biology --- Plant science --- Natural history --- Chemical engineering --- Genetic engineering --- Farming --- Husbandry --- Industrial arts --- Life sciences --- Food supply --- Land use, Rural --- Composition --- Plant science. --- Floristic botany
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GEOPHYSIQUE --- GEOPHYSIQUE REGIONALE --- ATLAS --- AMERIQUE DU NORD --- CANADA --- GEOLOGIE REGIONALE --- GEOPHYSIQUE REGIONALE --- CANADA
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Mathematical logic --- wiskunde --- logica
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India --- Lepidoziineae --- Marchantiophyta = Hepaticae = liverworts --- taxonomic revisions
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BRY Bryophytes --- Asia --- Geocalycaceae --- India --- Marchantiophyta = Hepaticae = liverworts --- bryophytes --- illustrations --- keys --- monographs
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