Fester
发表于 2025-3-26 23:05:42
CW Complexes,We return to homology, seeking to compute homology groups more effectively. The spaces for which this search is successful, the so-called CW complexes introduced by J. H. C. Whitehead, generalize simplicial complexes; they have also proved to be of fundamental importance in homotopy theory.
CHECK
发表于 2025-3-27 01:38:43
Covering Spaces,When first computing .(.), we looked to winding numbers for inspiration.
乐器演奏者
发表于 2025-3-27 08:01:21
http://reply.papertrans.cn/16/1552/155124/155124_33.png
上坡
发表于 2025-3-27 12:41:24
http://reply.papertrans.cn/16/1552/155124/155124_34.png
让你明白
发表于 2025-3-27 15:33:02
http://reply.papertrans.cn/16/1552/155124/155124_35.png
小淡水鱼
发表于 2025-3-27 20:11:56
http://reply.papertrans.cn/16/1552/155124/155124_36.png
AER
发表于 2025-3-28 01:25:09
http://reply.papertrans.cn/16/1552/155124/155124_37.png
Pamphlet
发表于 2025-3-28 02:55:46
Long Exact Sequences,lgebraic. Let us now acquaint ourselves with the algebraic half of the definition in order to establish the existence of certain long exact sequences; these are very useful for calculation because they display connections between the homology of a space and the homology of its subspaces.
手势
发表于 2025-3-28 08:15:41
https://doi.org/10.1007/978-3-658-10138-1this is not so). Many interesting spaces, as the torus, can be “triangulated”, and we shall see that this (strong) condition greatly facilitates calculation of homology groups. Moreover, we shall also be able to give a presentation of the fundamental groups of such spaces.
江湖骗子
发表于 2025-3-28 10:52:11
http://reply.papertrans.cn/16/1552/155124/155124_40.png