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Homologia --- Representacions de semigrups --- Representacions de grups --- Semigrups --- Cohomologia --- Teoria de l'homologia --- Teoria de la cohomologia --- Geometria algebraica --- Topologia algebraica --- Àlgebra homològica --- K-teoria --- Teoria dels feixos --- Cohomology operations. --- Commutative semigroups. --- Abelian semigroups --- Semigroups --- Operations (Algebraic topology) --- Algebraic topology

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Algebra, Homological. --- Homological algebra --- Algebra, Abstract --- Homology theory --- Àlgebra homològica --- Categories (Matemàtica) --- Homologia --- Morfismes (Matemàtica) --- Successions espectrals (Matemàtica) --- Teoria de functors

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Topologia algebraica --- Topologia --- Àlgebres de Hopf --- Grau topològic --- Grups fonamentals (Matemàtica) --- K-teoria --- Homologia --- Successions espectrals (Matemàtica) --- Teoria dels feixos --- Topologia de baixa dimensió --- Algebraic topology. --- Topology

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This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics—the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra—the book treats essential advanced topics, such as obstruction theory, characteristic classes, Steenrod squares, K-theory and cobordism theory, and, with distinctive thoroughness and lucidity, spectral sequences. The organization of the material around the major achievements of the golden era of topology—the Adams conjecture, Bott periodicity, the Hirzebruch–Riemann–Roch theorem, the Atiyah–Singer index theorem, to name a few—paints a clear picture of the canon of the subject. Grassmannians, loop spaces, and classical groups play a central role in mathematics, and therefore in the presentation of this book, as well. A judicious focus on the key ideas, at an appropriate magnification of detail, enables the reader to navigate the breadth of material, confidently, without the disorientation of algebraic minutiae. Many exercises are integrated throughout the text to build up the reader’s mastery of concepts and techniques. Numerous technical illustrations elucidate geometric constructions and the mechanics of spectral sequences and other sophisticated methods. Over fifty hauntingly captivating images by A. T. Fomenko artistically render the wondrous beauty, and mystery, of the subject.

Category theory. Homological algebra --- Algebraic topology --- Mathematics --- Physics --- algebra --- topologie (wiskunde) --- zeevaartagenten --- wiskunde --- fysica --- Topologia algebraica --- Àlgebra homològica --- Category theory (Mathematics). --- Homological algebra. --- K-theory. --- Algebraic topology. --- Category Theory, Homological Algebra. --- K-Theory. --- Algebraic Topology. --- Topology --- Homology theory --- Homological algebra --- Algebra, Abstract --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Functor theory --- Àlgebra abstracta --- Homologia --- Topologia algèbrica --- Topologia

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This atlas provides ultrastructural morphological images of human spermatozoa. Sperm morphology plays an essential role in sperm-oocyte interactions and early embryonic development, and human sperm ultrastructural morphology offers a valuable reference tool for assessing certain etiologies of male infertility and reproductive failure. However, the ultrastructural morphology of human sperm has not been systematically evaluated or thoroughly described in the literature. Using 470 original and unpublished images, the book shows various ultrastructural morphological phenotypes; defects of the sperm head, neck, middle piece, principal piece, and terminal piece; as well as artifacts of sperm ultrastructural morphology and phenomena related to inadequate preparation, demonstrating several sperm phenotypes and surface structural appearances for the first time. As such, it helps researchers and practitioners in andrology, reproductive medicine, and reproductive pathology gain a better understanding of human sperm ultrastructural morphology.

Human physiology. --- Andrology. --- Microscopy. --- Human Physiology. --- Biological Microscopy. --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Generative organs, Male --- Human reproduction --- Men --- Human biology --- Medical sciences --- Physiology --- Human body --- Endocrine aspects --- Diseases --- Espermatozoides --- Semen --- Morfologia (Biologia) --- Estructura biològica --- Estructura en biología --- Forma biològica --- Morfologia comparada --- Anatomia comparada --- Homologia (Biologia) --- Malformacions --- Morfologia animal --- Morfologia vegetal --- Morfogènesi --- Humors corporals --- Espermatozous --- Gàmetes masculins --- Cèl·lules germinals --- Espermatogènesi --- Testicle