標(biāo)題: Titlebook: Dimension Theory; A Selection of Theor Michael G. Charalambous Book 2019 Springer Nature Switzerland AG 2019 covering dimension.inductive d [打印本頁(yè)] 作者: 冰凍 時(shí)間: 2025-3-21 16:16
書(shū)目名稱(chēng)Dimension Theory影響因子(影響力)
作者: 軍械庫(kù) 時(shí)間: 2025-3-21 22:27 作者: Promotion 時(shí)間: 2025-3-22 03:16 作者: 過(guò)份艷麗 時(shí)間: 2025-3-22 05:24
,-Spaces and the Failure of the Sum and Subset Theorems for ,,,iven ., we present a Tychonoff space . which is the union of two zero subspaces .., .. such that dim...?= dim...?=?0 while dim..?=?.. We also construct Tychonoff spaces .? with dim..?=?0 that contain zero subspaces . with dim.. as large as we wish, showing the failure of the subset theorem for dim. in a strong form.作者: 試驗(yàn) 時(shí)間: 2025-3-22 10:19 作者: PUT 時(shí)間: 2025-3-22 15:18 作者: PUT 時(shí)間: 2025-3-22 18:42
Antony S. R. Manstead,Gün R. Seminnly defining the meaning of the statement d(.)?≤?. for every non-negative integer . and every space .. It will then be understood that (1) d(.)?≤?1 iff .?=??, (2) d(.)?=?. if the statement d(.)?≤?. is false for every integer .?≥?1 and (3) if d(.)?≤?. is true for some integer .?≥?1, then d(.) is the first such integer.作者: 眨眼 時(shí)間: 2025-3-22 22:15
Wolfgang Stroebe,Klaus Jonas,Miles Hewstoneng a normal subspace .. with .. This shows that the subset theorem for the covering or large inductive dimension of normal Hausdorff spaces does not always hold. The two examples together show that on the class of normal Hausdorff spaces, ., . and . are distinct dimension functions and the only relations between them are . and ..作者: 低能兒 時(shí)間: 2025-3-23 03:32
Book 2019standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers..作者: Fibrinogen 時(shí)間: 2025-3-23 08:50 作者: musicologist 時(shí)間: 2025-3-23 10:41 作者: abreast 時(shí)間: 2025-3-23 16:17 作者: 連系 時(shí)間: 2025-3-23 21:21
Wolfgang Stroebe,Klaus Jonas,Miles Hewstoneiven ., we present a Tychonoff space . which is the union of two zero subspaces .., .. such that dim...?= dim...?=?0 while dim..?=?.. We also construct Tychonoff spaces .? with dim..?=?0 that contain zero subspaces . with dim.. as large as we wish, showing the failure of the subset theorem for dim. in a strong form.作者: 難聽(tīng)的聲音 時(shí)間: 2025-3-24 00:42
Theorien und Modelle der Paarbeziehungany locally finite (respectively, discrete) collections.. is called . if every open cover of . has a locally finite open refinement. The proof that we give of the following fundamental result of Stone is due to Mary Ellen Rudin.作者: Communicate 時(shí)間: 2025-3-24 05:06
Zum Gegenstand der Sozialpsychologie and published in full detail in Roy (Trans Am Math Soc 134:117–132, 1968), is generally considered to be of forbidding complexity. In this chapter we present Kulesza’s much simpler metrizable space . with . and ., published in his paper Kulesza (Topol Appl 35:109–120, 1990) of 1990.作者: 去掉 時(shí)間: 2025-3-24 09:04
Book 2019e emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka‘s psi-spaces, van Douwen‘s t作者: 宣誓書(shū) 時(shí)間: 2025-3-24 13:52
The Dimension of Euclidean Spaces, to Morita and Smirnov, who generalized the result of Alexandroff for the case of compact Hausdorff spaces. From this inequality, the countable sum theorem for . and the Urysohn inequality for ., it will follow that . and ..作者: 生氣地 時(shí)間: 2025-3-24 16:16
Connected Components and Dimension,∈?., is the union of all connected subspaces of . that contain .. The intersection of all clopen sets of . that contain ., denoted here by ., is called the . of .. If . for every .?∈?., . is called .. If . for every .?∈?., . is called .. Note that both . and . are closed subsets of . and . is connected.作者: Heart-Rate 時(shí)間: 2025-3-24 22:32
Universal Spaces for Separable Metric Spaces of Dimension at Most ,,. space ., which consists of all points of . that have at most . rational coordinates, is a universal space for the class of all separable metric spaces of covering dimension at most .. We first need some preliminary results.作者: 巨碩 時(shí)間: 2025-3-25 02:09 作者: Pruritus 時(shí)間: 2025-3-25 04:02
Inverse Limits and ,-Compact Spaces,f spaces consists of a directed set ., a space .. for each .?∈?. and . ., for ., .?∈?. with .?≤?., such that . is the identity on .. and . whenever .?≤?.?≤?.. Evidently, the equality . need only be checked for .?
作者: 可觸知 時(shí)間: 2025-3-25 07:42 作者: Indent 時(shí)間: 2025-3-25 12:41 作者: Aggressive 時(shí)間: 2025-3-25 16:21
Antony S. R. Manstead,Gün R. SeminIn this chapter we prove two of the most important results for covering dimension, the countable sum theorem for normal spaces and the subset theorem for perfectly normal spaces. Both results are due to ?ech.作者: infinite 時(shí)間: 2025-3-25 20:05
https://doi.org/10.1007/978-3-662-09956-8The inequalities in Propositions 4.3, 4.8 and Exercise 4.15 are known as . in honour of Urysohn who proved the inequality for the small inductive dimension of compact metric spaces. The Urysohn inequality for large inductive dimension will be used in the next section to compute the precise value of the inductive dimensions of Euclidean spaces.作者: 外科醫(yī)生 時(shí)間: 2025-3-26 03:07
Die soziale Natur der sozialen EntwicklungRecall that in a metric space (., .), the . of a subset . of . is defined by ., and the . of a collection . of subsets of . by .. In both cases the supremum is taken in the set of non-negative real numbers, so that ..作者: AGGER 時(shí)間: 2025-3-26 06:54 作者: fiction 時(shí)間: 2025-3-26 08:54
Anthony S. R. Manstead,Gün R. SeminConsider the following axioms for a dimension function . on a class of spaces . that contains all Euclidean cubes . and every space that is homeomorphic to a subspace of a member of .. Bear in mind that by our definition of a dimension function, . if . and .? are homeomorphic, and . iff .?=??.作者: 懶惰民族 時(shí)間: 2025-3-26 12:39 作者: Vulnerable 時(shí)間: 2025-3-26 17:24
Topological Spaces,In this section we recall some standard topological definitions and results and list some conventions regarding notation and terminology.作者: synovial-joint 時(shí)間: 2025-3-26 23:56
The Countable Sum Theorem for Covering Dimension,In this chapter we prove two of the most important results for covering dimension, the countable sum theorem for normal spaces and the subset theorem for perfectly normal spaces. Both results are due to ?ech.作者: 帶傷害 時(shí)間: 2025-3-27 03:47 作者: 優(yōu)雅 時(shí)間: 2025-3-27 05:27 作者: reception 時(shí)間: 2025-3-27 12:40
Coincidence, Product and Decomposition Theorems for Separable Metric Spaces,Let ., . be disjoint closed sets of a non-empty compact regular space . with .. Let . be a finite open cover of .. Then there are disjoint closed sets .., .. of . such that . and the trace of . on .???(..?∪?..) has a finite open refinement . of order at most .???1.作者: 后天習(xí)得 時(shí)間: 2025-3-27 14:53
Axiomatic Characterization of the Dimension of Separable Metric Spaces,Consider the following axioms for a dimension function . on a class of spaces . that contains all Euclidean cubes . and every space that is homeomorphic to a subspace of a member of .. Bear in mind that by our definition of a dimension function, . if . and .? are homeomorphic, and . iff .?=??.作者: rectum 時(shí)間: 2025-3-27 20:43
Cozero Sets and Covering Dimension dim0,In this chapter we establish the fundamental properties of the dimension function dim. that was defined earlier in Chap. ., including the countable sum theorem and the subset theorem. We first recall some standard properties of zero and cozero sets.作者: 沙發(fā) 時(shí)間: 2025-3-28 00:50 作者: ostrish 時(shí)間: 2025-3-28 03:20 作者: airborne 時(shí)間: 2025-3-28 07:31
Dimension Theory978-3-030-22232-1Series ISSN 1875-7634 Series E-ISSN 2215-1885 作者: 思考而得 時(shí)間: 2025-3-28 13:42
Jacques-Philippe Leyens,Benoit Dardenne to Morita and Smirnov, who generalized the result of Alexandroff for the case of compact Hausdorff spaces. From this inequality, the countable sum theorem for . and the Urysohn inequality for ., it will follow that . and ..作者: Deference 時(shí)間: 2025-3-28 15:21
Attributionstheorie und soziale Erkl?rungen∈?., is the union of all connected subspaces of . that contain .. The intersection of all clopen sets of . that contain ., denoted here by ., is called the . of .. If . for every .?∈?., . is called .. If . for every .?∈?., . is called .. Note that both . and . are closed subsets of . and . is connected.作者: 文字 時(shí)間: 2025-3-28 19:11
Sozialer Einflu? in Kleingruppen. space ., which consists of all points of . that have at most . rational coordinates, is a universal space for the class of all separable metric spaces of covering dimension at most .. We first need some preliminary results.作者: incite 時(shí)間: 2025-3-29 00:37
Sozialpsychologie der Partnerschaftly of compact Hausdorff spaces was constructed by Vopěnka. His construction is described in Pears’s book. We present a simpler construction due to Krzempek, which combines ideas from Vopěnka’s paper and from a more recent construction by Chatyrko. Before describing the construction, we establish four auxiliary results.作者: Dislocation 時(shí)間: 2025-3-29 06:35 作者: 描繪 時(shí)間: 2025-3-29 10:13 作者: 脫毛 時(shí)間: 2025-3-29 15:19
Antony S. R. Manstead,Gün R. Seminer . and .?are homeomorphic and d(.)?=??1 iff .?=??. Intuitively, we require much more of a dimension function, such as . or d(.)?≤d(.?) whenever . is a subspace of .?, but such properties will require proof or will be true under severe restrictions. Frequently, we define a dimension function d by o作者: 蹣跚 時(shí)間: 2025-3-29 18:11 作者: synovial-joint 時(shí)間: 2025-3-29 21:46 作者: 他姓手中拿著 時(shí)間: 2025-3-30 03:55
Sozialer Einflu? in Kleingruppen. space ., which consists of all points of . that have at most . rational coordinates, is a universal space for the class of all separable metric spaces of covering dimension at most .. We first need some preliminary results.作者: ciliary-body 時(shí)間: 2025-3-30 04:26 作者: 柔聲地說(shuō) 時(shí)間: 2025-3-30 08:53 作者: packet 時(shí)間: 2025-3-30 15:22
Wolfgang Stroebe,Klaus Jonas,Miles Hewstone equal to 1 and inductive dimensions equal to 2. . is the union of two closed subspaces .., .?=?1, 2, with .. This shows that the finite sum theorem for . and . on compact Hausdorff spaces fails. The second example is of a strongly zero-dimensional normal Hausdorff space .., for . or .?=?., containi作者: 變形詞 時(shí)間: 2025-3-30 19:42
Sozialpsychologie der Partnerschaftly of compact Hausdorff spaces was constructed by Vopěnka. His construction is described in Pears’s book. We present a simpler construction due to Krzempek, which combines ideas from Vopěnka’s paper and from a more recent construction by Chatyrko. Before describing the construction, we establish fou作者: 戰(zhàn)勝 時(shí)間: 2025-3-30 21:12 作者: mydriatic 時(shí)間: 2025-3-31 03:38
Theorien und Modelle der Paarbeziehung. is . if . has an open cover every member of which intersects at most one member of .. . is .-. (respectively, .-.) if it is the union of countably many locally finite (respectively, discrete) collections.. is called . if every open cover of . has a locally finite open refinement. The proof that we作者: 擦試不掉 時(shí)間: 2025-3-31 07:16
Bindung und Partnerschaftsrepr?sentationnto compact Hausdorff spaces. As immediate corollaries we have a compactification theorem and a universal space theorem for Tychonoff spaces of given covering dimension and weight. We also use the theorem to prove the equality . and other important results of the dimension theory of metric spaces.作者: ALIEN 時(shí)間: 2025-3-31 12:41
Zum Gegenstand der Sozialpsychologietled some 10 years later by P. Roy, who constructed a metric space Δ with . and .. Roy’s example, announced in Roy (Bull Am Math Soc 68:609–613, 1962) and published in full detail in Roy (Trans Am Math Soc 134:117–132, 1968), is generally considered to be of forbidding complexity. In this chapter we作者: 懦夫 時(shí)間: 2025-3-31 17:04 作者: CARK 時(shí)間: 2025-3-31 20:15 作者: 謊言 時(shí)間: 2025-3-31 23:31 作者: 極微小 時(shí)間: 2025-4-1 05:01
The Dimension of Euclidean Spaces, to Morita and Smirnov, who generalized the result of Alexandroff for the case of compact Hausdorff spaces. From this inequality, the countable sum theorem for . and the Urysohn inequality for ., it will follow that . and ..作者: 埋伏 時(shí)間: 2025-4-1 08:58
Connected Components and Dimension,∈?., is the union of all connected subspaces of . that contain .. The intersection of all clopen sets of . that contain ., denoted here by ., is called the . of .. If . for every .?∈?., . is called .. If . for every .?∈?., . is called .. Note that both . and . are closed subsets of . and . is connec作者: 表狀態(tài) 時(shí)間: 2025-4-1 13:33 作者: 敵意 時(shí)間: 2025-4-1 16:05
