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標(biāo)題: Titlebook: Geometric Aspects of General Topology; Katsuro Sakai Book 2013 Springer Japan 2013 [打印本頁(yè)]

作者: Constrict    時(shí)間: 2025-3-21 17:29
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作者: defenses    時(shí)間: 2025-3-21 21:02

作者: BARGE    時(shí)間: 2025-3-22 00:27
Geometric Aspects of General Topology978-4-431-54397-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
作者: 凹室    時(shí)間: 2025-3-22 07:28
https://doi.org/10.1007/978-1-349-17177-4The reader should have finished a first course in Set Theory and General Topology; basic knowledge of Linear Algebra is also a prerequisite. In this chapter, we introduce some terminology and notation. Additionally, we explain the concept of Banach spaces contained in the product of real lines.
作者: 錯(cuò)事    時(shí)間: 2025-3-22 12:03
Preliminaries,The reader should have finished a first course in Set Theory and General Topology; basic knowledge of Linear Algebra is also a prerequisite. In this chapter, we introduce some terminology and notation. Additionally, we explain the concept of Banach spaces contained in the product of real lines.
作者: LIMIT    時(shí)間: 2025-3-22 14:52

作者: LIMIT    時(shí)間: 2025-3-22 18:54

作者: obnoxious    時(shí)間: 2025-3-22 22:07

作者: 陶瓷    時(shí)間: 2025-3-23 04:54
Dimensions of Spaces,ch . open cover of . has a . open refinement . with .. and then, dim. = . if dim. ≤ . and dim. ≮ .. By ., we mean that . = .. We say that . is .-. if dim. = . and that . is . (.) (dim. < .) if dim. ≤ . for some . ∈ .. Otherwise, . is said to be . (.) (dim. = .). The dimension is a topological invariant (i.e., dim. = dim. if . ≈ . ).
作者: Narrative    時(shí)間: 2025-3-23 08:35

作者: 性滿足    時(shí)間: 2025-3-23 10:43
Richard C. K. Burdekin,Paul Burkettbility, and normability of topological linear spaces. Among the important results are the Hahn–Banach Extension Theorem, the Separation Theorem, the Closed Graph Theorem, and the Open Mapping Theorem. We will also prove the Michael Selection Theorem, which will be applied in the proof of the Bartle–
作者: 破裂    時(shí)間: 2025-3-23 14:25
Basic Distributionally Robust Optimizationomplexes lies in the fact that they can be used to approximate and explore (topological) spaces. A polyhedron is the underlying space of a simplicial complex, which has two typical topologies, the so-called weak (Whitehead) topology and the metric topology. The paracompactness of the weak topology w
作者: 增長(zhǎng)    時(shí)間: 2025-3-23 19:13

作者: 虛假    時(shí)間: 2025-3-24 00:22
https://doi.org/10.1007/978-3-7091-7004-5f a space . is . in .. A . of . is a . set in . that is a retract of some neighborhood in .. A . space . is called an . (.) (resp. an . (.)) if . is a neighborhood retract (or a retract) of an arbitrary metrizable space that contains . as a closed subspace. A space . is called an . (.) if each map .
作者: Anguish    時(shí)間: 2025-3-24 05:12

作者: Digitalis    時(shí)間: 2025-3-24 09:55
Katsuro SakaiThe perfect book for acquiring fundamental knowledge of simplicial complexes and the theories of dimension and retracts.Many proofs are illustrated by figures or diagrams for easier understanding.Fasc
作者: Wordlist    時(shí)間: 2025-3-24 10:51
Basic Distributionally Robust Optimizationmetric topology. In addition, we give a proof of the Whitehead–Milnor Theorem on the homotopy type of simplicial complexes. We also prove that a map between polyhedra is a homotopy equivalence if it induces isomorphisms between their homotopy groups.
作者: A保存的    時(shí)間: 2025-3-24 16:35
https://doi.org/10.1007/978-3-7091-7004-5e., . = . in the above), we call . an . (.). As is easily observed, every . ANE (resp. a . AE) is an ANR (resp. an AR). As will be shown, the converse is also true. Thus, a . space is an ANE (resp. an AE) if and only if it is an ANR (resp. an AR).
作者: 丑惡    時(shí)間: 2025-3-24 20:00

作者: entreat    時(shí)間: 2025-3-24 23:35
Retracts and Extensors,e., . = . in the above), we call . an . (.). As is easily observed, every . ANE (resp. a . AE) is an ANR (resp. an AR). As will be shown, the converse is also true. Thus, a . space is an ANE (resp. an AE) if and only if it is an ANR (resp. an AR).
作者: opinionated    時(shí)間: 2025-3-25 04:34
1439-7382 strated by figures or diagrams for easier understanding.Fasc.This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology a
作者: 顧客    時(shí)間: 2025-3-25 08:36
Elisavet M. Sofikitou,Markos V. Koutrasics of paracompact spaces that indicate, in many situations, the advantages of paracompactness. In particular, there exists a useful theorem showing that, if a paracompact space has a certain property ., then it has the same property .. Furthermore, paracompact spaces have partitions of unity, which is also a very useful property.
作者: indecipherable    時(shí)間: 2025-3-25 14:38
https://doi.org/10.1007/978-3-322-93105-4ct (surjective) map . : . → . such that each fiber ..(.) is cell-like. The concept of cell-like maps is very important in Geometric Topology. It has been mainly developed in Shape Theory and Decomposition Theory. For infinite-dimensional manifolds (in particular Hilbert cube manifolds), this concept is one of the main tools.
作者: Glossy    時(shí)間: 2025-3-25 19:09

作者: 商品    時(shí)間: 2025-3-25 21:40

作者: 樂(lè)器演奏者    時(shí)間: 2025-3-26 04:08

作者: Rct393    時(shí)間: 2025-3-26 06:36
Metrization and Paracompact Spaces, perfect maps. Several metrization theorems are proved, and we characterize completely metrizable spaces. We will study several different characteristics of paracompact spaces that indicate, in many situations, the advantages of paracompactness. In particular, there exists a useful theorem showing t
作者: infelicitous    時(shí)間: 2025-3-26 10:24
Topology of Linear Spaces and Convex Sets,bility, and normability of topological linear spaces. Among the important results are the Hahn–Banach Extension Theorem, the Separation Theorem, the Closed Graph Theorem, and the Open Mapping Theorem. We will also prove the Michael Selection Theorem, which will be applied in the proof of the Bartle–
作者: 生命    時(shí)間: 2025-3-26 14:38

作者: 昏暗    時(shí)間: 2025-3-26 20:46
Dimensions of Spaces,ch . open cover of . has a . open refinement . with .. and then, dim. = . if dim. ≤ . and dim. ≮ .. By ., we mean that . = .. We say that . is .-. if dim. = . and that . is . (.) (dim. < .) if dim. ≤ . for some . ∈ .. Otherwise, . is said to be . (.) (dim. = .). The dimension is a topological invari
作者: 物種起源    時(shí)間: 2025-3-26 21:12

作者: AIL    時(shí)間: 2025-3-27 01:45

作者: 相同    時(shí)間: 2025-3-27 05:57
Sequential Bayesian Filtering via Minimum Distortion Quantization,ends upon the evaluation of high dimensional multivariable integrals and is thus computationally intractable save in a small number of special cases. Hence some form of approximation is inevitably required. An approximation in common use is based upon the use of Monte Carlo sampling techniques. This
作者: 極小    時(shí)間: 2025-3-27 10:26

作者: 消息靈通    時(shí)間: 2025-3-27 14:49

作者: 業(yè)余愛(ài)好者    時(shí)間: 2025-3-27 21:49
GPU Cache System for?COMPSs: A Task-Based Distributed Computing Framework memory, avoiding unnecessary disk operations and reducing data transfer time. We conducted extensive experiments on several benchmarks and demonstrated that our GPU cache system can achieve significant speedups compared to the baseline COMPSs implementation.
作者: 危險(xiǎn)    時(shí)間: 2025-3-28 01:22

作者: Robust    時(shí)間: 2025-3-28 04:47

作者: 新手    時(shí)間: 2025-3-28 10:13

作者: 天賦    時(shí)間: 2025-3-28 13:06
Olga Louisa Kastner pre-revolutionary Russian political culture, and the extent to which its chronological successor — the political culture of the contemporary USSR — may usefully be regarded as a continuation of that earlier political culture rather than as a radical break with it..
作者: FLIC    時(shí)間: 2025-3-28 17:11
,… Modern Society,ernist belief in science, progress and rationality, linked with more traditional notions of order and discipline, a functionalist aesthetic in art and architecture and a social engineering approach to social problems. The politics of social democracy - which aimed to bring a degree of state control
作者: conscience    時(shí)間: 2025-3-28 18:55
Book 2009He investigates how process modelers can be supported by semantic technologies, e.g., by semantically enriched process models or annotated Web services, and puts special emphasis on expressiveness and scalability..
作者: Emg827    時(shí)間: 2025-3-29 01:29
https://doi.org/10.1007/978-3-322-85879-5. As the main result, we found that the Autoencoder model outperformed Neural Collaborative Filtering in terms of prediction, suggesting its usefulness by providing more precise recommendations for users.




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