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

Cholecystokinin

Discussion and Future Research Directions,em, we propose a method to describe certain families of manifolds over simple convex polytopes with torus action. Under this construction, many known classification results of these families of manifolds can be interpreted by this construction. Some further problems will be discussed in the end.

Exonerate

Mahender Singh,Yongjin Song,Jie WuCollects papers on a wide range of algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and knot theory.Includes contributions from

Adenoma

Trends in Mathematicshttp://image.papertrans.cn/a/image/152739.jpg

BLAZE

,Whitehead’s Asphericity Question and Its Relation to Other Open Problems,roups. 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.

tenuous

,Connective ,-Theory and the Borsuk–Ulam Theorem,Borsuk–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 ..

一加就噴出

Torus Orbifolds with Two Fixed Points,d consider when we can use the results of (Darby et al., Equivariant cohomology of torus orbifolds, . [.]) to compute its integral equivariant cohomology, in terms of generators and relations, coming from the corresponding orbifold torus graph.

auxiliary

Exponents of ,h the .-primary homotopy exponents of spheres . and ., respectively. We further study the exponent problem when . is a space with the homotopy type of . for a homotopy .-sphere ., the complex projective space . for . or the quaternionic projective space . for ..

南極

Nielsen Theory on Nilmanifolds of the Standard Filiform Lie Group,he Lefschetz, Nielsen, and Reidemeister (coincidence) numbers of maps . on .. Moreover, we give explicit formulas for a complete computation of the Nielsen type numbers . and .. We also give a complete description of the sets of homotopy minimal periods of all such maps on ..

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Rejuvenate

The Homotopy Type of the Loops on ,-Connected ,-Manifolds,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