On decompositions of Hausdorff continua
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On decompositions of Hausdorff continua

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Published by Państwowe Wydawnictwo Naukowe in Warszawa .
Written in English


  • Topological spaces.,
  • Decomposition (Mathematics)

Book details:

Edition Notes

Bibliography: p. [31]-33.

StatementZbigniew M. Rakowski.
SeriesDissertationes mathematicae ;, 170, Rozprawy matematyczne ;, 170.
LC ClassificationsQA1 .D54 no. 170, QA611.3 .D54 no. 170
The Physical Object
Pagination36 p. ;
Number of Pages36
ID Numbers
Open LibraryOL4228474M
ISBN 108301011068
LC Control Number80508637

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Project Euclid - mathematics and statistics online. [6] S. Mardesic, A locally connected continuum which contains no proper locally con- nected subcontinuum, Glasnik Matematicki, 2 (22) (), Locally connected, ordered and chainable continua, Rad by: Filament sets and decompositions of homogeneous continua Hausdorff metric. All metrics will be denoted by d. Our definition of local connectedness follows the terminology of Kuratowski [10, p. ]. A space is locally connected at a point p if every neighborhood of p contains a connected neighborhood of p. (Since we have made. E. J. Vought, Jr., Monotone decompositions into trees of Hausdorff continua irreducible about a finite subset, Рас. J. Math. 54 (), pp. E. J. Vought, Jr., On decompositions of hereditarily unicoherent continua, Fund. Math. (), pp. Hausdorff measures. The coarea formula. The special case d = n. Hausdorff measures on affine subspaces. Polar decomposition of Lebesgue measure. Translative decompositions of Hausdorff measures. A transformation result for surface area measure. Simplices. Exercises. Bibliographical notes.

Continuous decompositions occur frequently in the theory of compact spaces (cf. Compact space). Every continuous mapping of a compact space onto a Hausdorff space is closed. Therefore, every continuous mapping of a compact space onto a Hausdorff space gives rise to a continuous decomposition of by inverse images of points. Abstract: A monotone, upper semicontinuous decomposition of a compact, Hausdorff continuum is admissible if the layers (tranches) of the irreducible subcontinua of are contained in the elements of the decomposition. A spectrum of decompositions which " fills in" between M and M/6i)a has been developed for hereditarily unicoherent metric continua by such authors as J. J. Charatonik [1], E. J. Vought [8, 12] and G. R. Gordh [6, 8]. The main purpose of this paper is to extend the spectrum of decompositions to the class of IUC continua. Brick in the Wall Decomposition Book (Blank Pages) $ Add to cart. Quick View. Wholesale Order. Full Carton of Decomposition Filler Paper 24 Packs $ Add to cart. Quick View%. Bundles. Serenity Gift Bundle (6 items) $ $ Add to cart. Quick View%. Recycled Greeting Cards. Love & Friendship Card Bundle (6 pack) $

  The spaces B ˙ H s,τ p,q (R n) and F ˙ H s,τ p,q (R n) were originally called the Hardy–Hausdorff spaces in [30,31]. However, it seems that it is more reasonable to call them, respectively, the Besov–Hausdorff spaces and the Triebel–Lizorkin–Hausdorff spaces. Let p∈(1,∞), q∈[1,∞), s∈R and τ∈[0,1−1max{p,q}]. In this paper, the authors establish the φ-transform characterizations of Besov–Hausdorff spaces BH˙p. the notion of the Hausdorff space was established, however for a long time after this metric spaces were much more popular for researchers in continuum theory than topological ones, in particular those of Hausdorff. For the role of Hausdorff's book [] in the development of topological concepts see [82] and Appendix 3 of []. Cite this chapter as: Taylor W. () Possible classification of finite-dimensional compact Hausdorff topological algebras. In: Czelakowski J. (eds) Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science.