作者: 言行自由 時(shí)間: 2025-3-21 22:32
Textbook 2005 and singular homology, and fibre bundles..."Essential Topology" contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it..作者: 小教堂 時(shí)間: 2025-3-22 01:42
Textbook 2005 It begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology...While containing all the key results of basic topology, Essential Topology never allows itself 作者: 天然熱噴泉 時(shí)間: 2025-3-22 06:28 作者: 柱廊 時(shí)間: 2025-3-22 10:02 作者: pancreas 時(shí)間: 2025-3-22 14:16
Consumer Behavior and Energy Conservatione, it is often possible to express the new space in terms of other, perhaps more familiar, spaces. In the last three sections of this chapter, we will look at some different topological constructions which will enable us to deconstruct some of the more exotic spaces that we have met.作者: pancreas 時(shí)間: 2025-3-22 17:25 作者: bizarre 時(shí)間: 2025-3-22 22:26
Introduction,s similarities between apparently dissimilar objects. As we will discover, the key to what topology ignores, and to what it concentrates on, is the behaviour of continuous functions. Topology studies the ways in which the properties of the domain and range determine the behaviour of a continuous function.作者: 弄皺 時(shí)間: 2025-3-23 05:17 作者: AFFIX 時(shí)間: 2025-3-23 08:30 作者: 規(guī)范就好 時(shí)間: 2025-3-23 11:03
https://doi.org/10.1007/1-84628-194-6Algebraic topology; Continuity; Fundamental group; Homology; Homotopy; Homotopy group; Topological space; T作者: 彩色的蠟筆 時(shí)間: 2025-3-23 17:18 作者: Osmosis 時(shí)間: 2025-3-23 19:07
https://doi.org/10.1007/978-1-349-14862-2ace. However, homotopy groups are very hard to calculate. In this chapter we introduce “homology” groups, which can be thought of as a rough approximation to the homotopy groups of a space. In defining the homotopy groups of a space X, we considered all maps作者: 搖曳 時(shí)間: 2025-3-24 01:37 作者: 為敵 時(shí)間: 2025-3-24 05:20
Simplicial Homology,ace. However, homotopy groups are very hard to calculate. In this chapter we introduce “homology” groups, which can be thought of as a rough approximation to the homotopy groups of a space. In defining the homotopy groups of a space X, we considered all maps作者: 松果 時(shí)間: 2025-3-24 09:52
978-1-85233-782-7Springer-Verlag London Limited 2005作者: 正論 時(shí)間: 2025-3-24 11:48
Essential Topology978-1-84628-194-5Series ISSN 1615-2085 Series E-ISSN 2197-4144 作者: FLINT 時(shí)間: 2025-3-24 17:53
Martin D. CrossleyUnites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study.Written from a thoroughly modern perspective:作者: PALSY 時(shí)間: 2025-3-24 19:46
Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/e/image/315549.jpg作者: 刪減 時(shí)間: 2025-3-25 00:55 作者: ARCH 時(shí)間: 2025-3-25 05:17 作者: 發(fā)源 時(shí)間: 2025-3-25 10:06 作者: Rustproof 時(shí)間: 2025-3-25 13:34 作者: 不連貫 時(shí)間: 2025-3-25 19:53
Marc Fetscherin,Tobias Heilmanne spaces cannot be expressed in such a way, and even those that can, can usually be expressed as a simplicial complex in many different ways. Choosing one way can obscure some details of the space. For these reasons “singular” homology was developed, which gets around this problem by, in a very loos作者: visual-cortex 時(shí)間: 2025-3-25 20:39 作者: Coordinate 時(shí)間: 2025-3-26 03:32
John M. Barron,Michael E. StatenSo far, we have only considered functions on the real line. We have seen how to hide those annoying ?s and δs in the definition of continuity, replacing them with open sets. This enables us to consider functions with domains and ranges different from R; all we need is some notion of “open set”.作者: DEAWL 時(shí)間: 2025-3-26 05:25 作者: 連鎖,連串 時(shí)間: 2025-3-26 12:20 作者: ovation 時(shí)間: 2025-3-26 14:45 作者: 腐蝕 時(shí)間: 2025-3-26 17:58
Continuous Functions,As topology is essentially just the study of continuous functions, we should start by clarifying exactly what we mean by the word “continuous”. We will begin by considering the most familiar type of function, namely those which are defined for some (or all) real numbers, and which return a real number作者: Forsake 時(shí)間: 2025-3-26 21:32
Topological Spaces,So far, we have only considered functions on the real line. We have seen how to hide those annoying ?s and δs in the definition of continuity, replacing them with open sets. This enables us to consider functions with domains and ranges different from R; all we need is some notion of “open set”.作者: stress-response 時(shí)間: 2025-3-27 04:59 作者: tolerance 時(shí)間: 2025-3-27 07:26
Homotopy Groups,In Chapter 6 we calculated the set [S., S.] of homotopy classes of maps S1 → S1 and found that [S., S.] = Z, which is an Abelian group. We can describe the group operation topologically as follows.作者: Legend 時(shí)間: 2025-3-27 12:08
More Deconstructionism,In Chapter 5, we studied the union, product and quotient constructions. These are elementary constructions, in the sense that they involve constructing a topological space directly. In this chapter, we will look at some non-elementary constructions which are built out of these elementary ones.作者: 小歌劇 時(shí)間: 2025-3-27 16:26 作者: Abnormal 時(shí)間: 2025-3-27 21:01 作者: institute 時(shí)間: 2025-3-28 01:07
Homotopy,ibe all the continuous maps between any given pair of topological spaces. Of course, with almost any pair of spaces, there are lots of continuous functions between them – far more than we can ever hope to list or understand. For example, it is not remotely feasible to list even the continuous functi作者: 彎腰 時(shí)間: 2025-3-28 05:13
Simplicial Homology,ace. However, homotopy groups are very hard to calculate. In this chapter we introduce “homology” groups, which can be thought of as a rough approximation to the homotopy groups of a space. In defining the homotopy groups of a space X, we considered all maps作者: Amenable 時(shí)間: 2025-3-28 09:49 作者: lactic 時(shí)間: 2025-3-28 12:54
The Homicidal Patientiatrists can reach reliable and valid conclusions concerning these questions, which have awesome implications for the lives of the patients being evaluated, such as: Should they be free persons? Should they be involuntarily held? Should they be tried for offenses and perhaps sent to prison?作者: 健忘癥 時(shí)間: 2025-3-28 16:30 作者: 鳥(niǎo)籠 時(shí)間: 2025-3-28 19:27
Selective memory loss in aphasics: An insight from pseudo-recurrent connectionist networksYou‘ll Learn:.Learn what an FPGA is and how it‘s different from a microcontroller or ASIC .Set up your toolchain .Use VHDL, a popular hardware description language, to tell your FPGA what to be .Explore the theory behind FPGA and electronics .Use your FPGA with a variety of sensors and to talk to a 作者: inferno 時(shí)間: 2025-3-29 00:27
Tanya Serisiericipation is promoted, experienced and embodied in the context of postfeminism, commodity feminism and emerging forms of popular feminism..978-3-030-10208-1978-3-319-72481-2Series ISSN 2522-0330 Series E-ISSN 2522-0349 作者: 流浪者 時(shí)間: 2025-3-29 04:32
Conclusion: Such Sweet Wayfaring?,reated his medical skill and counsel on behalf of their human chattel, the notion that slaves possessed the capacity to recall a homeland, a familiar landscape, or even a sweetheart’s cherished features, and that the recollection of any of these could bring forth feelings of love and loss—or nostalg作者: 舊石器時(shí)代 時(shí)間: 2025-3-29 09:13
,Verst?rker,??e der . und somit der ben?tigten ., die verh?ltnism??ig kleine Stellkraft und das geringe Arbeitsverm?gen des Me?werkes in einem .-, .- oder . entsprechend vervielfacht werden. Für diese Verst?rkung mu? eine eigene (fremde) . benutzt werden. Als Hilfsenergie wird benutzt:作者: Fraudulent 時(shí)間: 2025-3-29 11:36
Leitgedanken und Grundstruktur,umanit?t und Effizienz der Mitarbeiterführung. Innerhalb ihrer institutionellen Erfolgsverantwortung intendieren Führungskr?fte, das Leistungsverhalten ihrer Mitarbeiter in Richtung der organisationalen Ziele zu beeinflussen.
