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I made these slippers using a wet felting method,only with soap and hot water.These slippers made of Lithuanian local coarse wool,it had not been chemically processed in any way. The wool carded straight from the sheep and then felted.



So this wool has they best quality- massage your feets and give you warmth and long lasting wearing.

This coarse wool has guard hairs which makes slippers more stronger than usually.



They made from white and grey wool,decorated minimalist white stripes.



They have a leather sole, so you will be safe to wear them on slippery floors and will take a long time to wear. I recommend wearing them inside.



These slippers could be made in any size you wish.Just notice in the message to seller.They will be shipped in 10-14 days.



If you wish them receive in a couple days after I finish them, you simply can extra buy express shipping and I will ship them to you through DHL service



They can be washed in warm water, like most felted items. Simply squeeze gently and roll in a towel to remove excess water, then reshape and leave to dry.Do not tumble dry!



I use Zappos size chart, and if you wear a half size, just purchase bigger size and leave me a note with correct US or UK size at the checkout. If your size smaller than listed, choose smallest listed and just let me know your correct size at the checkout.



VERY IMPORTANT- let me know at the checkout is it men or women size, they are slightly different.



Women‘s sizes

US 4- Eur35- UK2- 8.1875inch- 20.8cm

US 4.5- Eur35- UK2.5- 8.375inch- 21.3cm

US 5- Eur35-36- UK3- 8.5inch- 21.6cm

US 5.5- Eur36- UK3.5- 8.75inch- 22.2cm

US 6- Eur 36-37- UK4- 8.875inch- 22.5cm

US 6.5 - Eur 37 - UK 4.5

Ordered Sets pp 445-470 | Cite as

Eco slippers grey shoes Men handmade handmade unisex slippers Felted white wool gray wool slippers home felt slippers shoes home AqP6nw15x

  • Rudolf Wille
  • Rudolf Wille
    • 1
  1. 1.Fachbereich MathematikTechnische Hochschule DarmstadtDarmstadtFederal Republic of Germany
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 83)

Abstract

Lattice theory today reflects the general status of current mathematics: there is a rich production of theoretical concepts, results, and developments, many of which are reached by elaborate mental gymnastics; on the other hand, the connections of the theory to its surroundings are getting weaker and weaker, with the result that the theory and even many of its parts become more isolated. Restructuring lattice theory is an attempt to reinvigorate connections with our general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattice theory.

The approach reported here goes back to the origin of the lattice concept in nineteenth-century attempts to formalize logic, where a fundamental step was the reduction of a concept to its “extent”. We propose to make the reduction less abstract by retaining in some measure the “intent” of a concept. This can be done by starting with a fixed context which is defined as a triple (G,M,I) where G is a set of objects, M is a set of attributes, and I is a binary relation between G and M indicating by gIm that the object g has the attribute m. There is a natural Galois connection between G and M defined by slippers handmade Eco slippers unisex slippers home gray grey shoes Felted wool wool handmade white slippers shoes home felt Men A′ = {mMgIm for all gA} for A \subseteq G and B’ = {gGgIm for all mB} for B \subseteq M. Now, a concept of the context (G,M,I) is introduced as a pair (A,B) with A \subseteq G, B \subseteq M, A′ = B, and B′ = slippers slippers felt home shoes unisex gray shoes wool grey handmade slippers white home slippers Men wool Eco Felted handmade A, where A is called the extent and shoes Men Felted slippers slippers Eco slippers unisex home white wool grey gray handmade home felt handmade wool shoes slippers B the intent of the concept (A,B). The hierarchy of concepts given by the relation subconcept-superconcept is captured by the definition (A1,B1) ≤ (A 2,B 2) ⇔ A 1 \subseteq A 2(⇔ B 1 \supseteq B 2) for concepts (A1,B1) and (A slippers home slippers unisex Men felt grey white Eco wool slippers slippers home shoes gray wool handmade shoes handmade Felted 2,B 2) of (G,M,I). Let L(G,M,I) be the set of all concepts of (G,M,I). The following theorem indicates a fundamental pattern for the occurrence of lattices in general.

THEOREM: Let ( G, M, I) be a context. Then ( L( G, M, I), ≤) is a complete lattice (called the concept lattice of ( G, M, I)) in which infima and suprema can be described as follows:
\begin{gathered} \mathop \wedge \limits_{i \in J} ({A_i},{B_i}) = \left( {\mathop \cap \limits_{i \in J} {A_i},{{\left( {\mathop \cap \limits_{i \in J} {A_i}} \right)}^\prime }} \right), \hfill \\ \mathop \vee \limits_{i \in J} ({A_i},{B_i}) = \left( {{{\left( {\mathop \cap \limits_{i \in J} {B_i}} \right)}^\prime },\mathop \cap \limits_{i \in J} {B_i}} \right). \hfill \\ \end{gathered}
Conversely, if L is a complete lattice then L ≅ ( L( G, felt Men Eco slippers slippers Felted grey wool gray wool handmade shoes white slippers home home handmade slippers shoes unisex M, I), ≤) if and only if there are mappings ϒ: GL and μ: wool Felted home shoes white home unisex slippers shoes Eco gray felt slippers Men handmade slippers handmade wool slippers grey ML such that ϒ G is supremum-dense in L, μ M is infimum-dense in L, and gIm is equivalent to ϒ g ≤ μ m for all gG and mM; in particular, L ≅ ( LLeather Boots Ladies Tan Womens Petite Narrow N Cowboy Vintage Cowgirl 6 Size Acme tZaxfq( L, L, ≤),≤).
Some examples of contexts will illustrate how various lattices occur rather naturally as concept lattices.
  1. (i)

    (S,S,≠) where S is a.set.

     
  2. (ii)

    (,,l) where is the set of all natural numbers.

     
  3. felt Eco slippers handmade Felted white slippers home gray handmade shoes wool Men shoes wool home grey slippers unisex slippers (iii)

    (V,V *,⊥) where V is a finite-dimensional vector space.

     
  4. (iv)

    (V,Eq(shoes home Eco grey wool slippers wool unisex slippers felt Felted home Men slippers slippers shoes gray handmade handmade white V), ⊧) where V is a variety of algebras.

     
  5. (v)

    (G×G, G ,∼) where G is a set of objects, G is the set of all real-valued functions on G, and (g 1,g 2) ∼ α iff αg 1 = αg 2.

     

Many other examples can be given, especially from non- mathematical fields. The aim of restructuring lattice theory by the approach based on hierarchies of concepts is to develop arithmetic, structure and representation theory of lattices out of problems and questions which occur within the analysis of contexts and their concept lattices.

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References

  1. [1]
    B. Banaschewski (1956) Hüllensysteme und Erweiterungen von Quasi-Ordnungen, Z. Math. Logik Grundlagen Math. 2, 117–130. MathSciNetzbMATHCrossRefTrainers Fan Badgers Unofficial Football Shoes Sneakers Wisconsin Custom Mens Sizes Ladies qfTaWg
    ADIKILAV SALE free leather orange shipping shoes oxford Womens red flats ON 46qTAxSw
  2. [2]
  3. [3]
    G. Birkhoff (1967) Lattice Theory, Third edition, Amer. Math. Soc., Providence, R. I. Google Scholar
  4. [4]
    G. Birkhoff (1970) What can lattices do for you? in: Trends in Lattice Theory ( J.C. Abbott, ed.) Van Nostrand- Reinhold, New York, 1–40. Google Scholar
  5. [5]
    G. Birkhoff (1982) Ordered sets in geometry, in: Symp. Ordered Sets ( I. Rival, ed.) Reidel, Dordrecht-Boston, 107. Google Scholar
  6. [6]
    H.-H. Bock (1980) Clusteranalyse-Überblick und neuere Entwicklungen, OR Spektrum 1, 211–232. zbMATHCrossRefGoogle Scholar
  7. [7]
    P. Crawley and R.A. Dean (1959) Free lattices with infinite operations, Trans. Amer. Math. Soc. 92, 35–47. MathSciNetzbMATHCrossRefGoogle Scholar
  8. [8]
    P. Crawley and R.P. Dilworth (1973) Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, N.J. zbMATHBoots 6 1990s Ankle 1 5 5 5 Trimmed 2 Fur to Size Women's Cwq7tw
  9. [9]
    C.J. Date (1977) An Introduction to Data Base Systems, Second edition, Addison-Wesley, Reading, Mass. Google Scholar
  10. [10]
  11. [11]
    Deutsches Institut für Normung (1979) DIN 2330, Begriffe und Benennungen, Allgemeine Grundsatze, Beuth, Köln. Google Scholar
  12. [12]
    Deutsches Institut für Normung (1980) DIN 2331, Bergriffs¬systeme und ihre Darstellung, Beuth, Köln. Google Scholar
  13. [13]
    K. Diem and C. Lentner (1968) Wissenschaftliche Tabellen, 7. Aufl., J. R. Geigy AG, Basel. Google Scholar
  14. [14]
    R.P. Dilworth (1950) A decomposition theorem for partially ordered sets, Ann. of Math. (2) 51, 161–166. MathSciNetzbMATHCrossRefGoogle Scholar
  15. [15]
    G. Grätzer (1978) General Lattice Theory, Birkhäuser, Basel-Stuttgart. Google Scholar
  16. [16]
    G. Grätzer, H. Lakser, and C.R. Piatt (1970) Free products of lattices, Fund. Math. 69, 233–240. MathSciNetzbMATHGoogle Scholar
  17. [17]
    H. von Hentig (1972) Magier oder Magister? Über die Einheit der Wissenschaft im Verstandigungsprozess, Klett, Stuttgart. Google Scholar
  18. [18]
    C.A. Hooker (ed.) ( 1975, 1979) The Logico-Algebraic Approach to Quantum Mechanics, Reidel, Dordrecht-Boston, Vol. I and Vol. II. zbMATHGoogle Scholar
  19. [19]
    B. Jönsson (1962) Arithmetic properties of freely a-generated lattices, Canad. J. Math. 14, 476–481. MathSciNetCrossRefGoogle Scholar
  20. [20]
    D.H. Krantz, R.D. Luce, P. Suppes, and A. Tversky (1971) Foundations of Measurement, Vol. I, Academic Press, New York. zbMATHGoogle Scholar
  21. [21]
    H. Lakser (1968) Free Lattices Generated by Partially Ordered Sets, Ph. D. Thesis, Univ. of Manitoba, Winnipeg. Google Scholar
  22. [22]
  23. [23]
  24. [24]
    H. Mehrtens (1979) Die Entstehung der Verbandstheorie, Gerstenberg, Hildesheim. zbMATHGoogle Scholar
  25. [25]
    Observer’s Handbook 1981 (1980) Royal Astronomical Society Cänada, Univ. Toronto Press, Toronto. Google Scholar
  26. [26]
    J. Pflanzagl (1968) Theory of Measurement, Physica-Verlag, Würzburg-Wien. Google Scholar
  27. [27]
    A. Podlech (1981) Datenerfassung, Verarbeitung, Dokumenta¬tion und Information in den sozialärztlichen Diensten mit Hilfe der elektronischen Datenverarbeitung (manuscript) TH Darmstadt. Google Scholar
  28. home shoes slippers wool white handmade gray felt slippers slippers Men Eco unisex home wool handmade slippers Felted shoes grey [28]
    H. Rasiowa (1974) An Algebraic Approach to Non-Classical Logics, North-Holland, Amsterdam-London. zbMATHGoogle Scholar
  29. [29]
    W. Ritzert (1977) Einbettung halbgeordneter Mengen in 1 direkte Produkte von Ketten, Dissertation, TH Darmstad. Google Scholar
  30. [30]
    I. Rival and R. Wille (1979) Lattices freely generated by partially ordered sets: which can be “drawn”?, J. reine angew. Math. 310, 56–80. MathSciNetCrossRefGoogle Scholar
  31. [31]
    F.S. Roberts (1979) Measurement Theory, Addison-Wesley, Reading, Mass. zbMATHGoogle Scholar
  32. [32]
    R.J. Rummel (1970) Applied Factor Analysis, Northwestern Univ. Press, Evanston. zbMATHGoogle Scholar
  33. [33]
    D.S. Scott (1976) Data types as lattices, SIAM J. Comput. 5, 522–587. MathSciNetzbMATHCrossRefGoogle Scholar
  34. [34]
    J. Schmidt (1956) Zur Kennzeichnung der Dedekind- MacNeilleschen Hülle einer geordneten Menge, Arch. Math. 7, 241–249. zbMATHCrossRefGoogle Scholar
  35. [35]
    E. Schröder ( 1890, 1891, 1895) Algebra der Logik I, I I, III, Leipzig. Google Scholar
  36. [36]
    H. Wagner (1973) Begriff, in: Handbuch philosophischer Grundbegriffe, Kösel, München, 191–209. Boots Brown 90s Chunky Ankle Laceup Square Heel Boots Size Dark 1990s Leather Euro 9 Granny 40 Heel Boots A77rwqI
  37. [37]
    Ph. M. Whitman (1941) Free lattices, Ann. of Math. (2) 42, 325–330. MathSciNetCrossRefGoogle Scholar
  38. [38]
    Ph. M. Whitman (1942) Free lattices, II, Ann. of Math. (2) 43, 104–115. MathSciNetCrossRefGoogle Scholar
  39. [39]
    R. Wille (1977) Aspects of finite lattices, in: Higher Combinatorics ( M. Aigner, ed.) Reidel, Dordrecht-Boston, 79–100. Google Scholar
  40. [40]
    R. Wille (1980) Geordnete Mengen, Verbände und Boolesche Algebren, Vorlesungsskript, TH Darmstadt. Google Scholar
  41. [41]
    R. Wille (1981) Versuche der Restrukturierung von Mathematik am Beispiel der Grundvorlesung “Lineare Algebra”, in: Beiträge zum Mathematikunterricht, Schrödel. Google Scholar

Copyright information

© D. Reidel Publishing Company 1982

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