Titlebook: Algebraic Topology and Related Topics; Mahender Singh,Yongjin Song,Jie Wu Conference proceedings 2019 Springer Nature Singapore Pte Ltd. 2

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The Vector Field Problem for Homogeneous Spaces,ry .. The number . is called the span of ., written .. It is clear that .. The vector field problem is an important and classical problem in differential topology. In this survey, we shall consider the vector field problem focussing mainly on the class of compact homogeneous spaces.

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Conference proceedings 2019SER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

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Language, Subjectivity and Individuality,sion subgroup in homology, the .-local homotopy groups of . are determined by the rank of the free Abelian part of the homology. Moreover, we show that these .-local homotopy groups can be expressed as a direct sum of .-local homotopy groups of spheres. The integral homotopy type of the loop space i

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https://doi.org/10.1007/978-981-15-2140-9roups. Methods from .-cohomology are brought to bear on the question and relate it to other open problems on low-dimensional complexes—some introduced here—as well as open problems on group theory, such as the Kervaire–Laudenbach Conjecture, and on group algebras, like the Bass trace conjecture.

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https://doi.org/10.1007/978-981-15-2140-9Borsuk–Ulam theorem is used to show that, if ., then the covering dimension of the space of vectors . such that . is at least .. It is shown, further, that there exists such a map . for which this zero-set has covering dimension equal to ..

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