๋ณธ๋ฌธ ๋ฐ”๋กœ๊ฐ€๊ธฐ
KERD
๋…ผ๋ฌธKCI ๋“ฑ์žฌ

Wallman Covers and Quasi-F Covers

๊น€์ฐฝ์ผ|์‹ ์ฐฝํ˜‘
ํ•œ๊ตญ์ˆ˜ํ•™๊ต์œกํ•™ํšŒ|2013.05|์ด๋ก ์ˆ˜ํ•™๊ณผ ๊ต์ง์ˆ˜ํ•™ (Theoretical Mathematics and Pedagogical Mathematics)|์ œ20๊ถŒ ์ œ2ํ˜ธ|pp. 103-108

6

์กฐํšŒ

0

๋‹ค์šด๋กœ๋“œ

1

์ธ์šฉ

0

์ฐธ๊ณ ๋ฌธํ—Œ

ํ‚ค์›Œ๋“œ

covering mapquasi Fโ€“space
์ฃผ์ œ๋ถ„๋ฅ˜์ˆ˜ํ•™

์ดˆ๋ก

Observing that for any space X, there is a Wallman sublattice ๐’œX and that QFX is homeomorphic to a subspace Xq of the Wallman cover โ„’(๐’œX) of ๐’œX, we show that ฮฒQFX and โ„’(๐’œX) are homeomorphic.

Abstract

Observing that for any space X, there is a Wallman sublattice ๐’œX and that QFX is homeomorphic to a subspace Xq of the Wallman cover โ„’(๐’œX) of ๐’œX, we show that ฮฒQFX and โ„’(๐’œX) are homeomorphic.

์ฐธ๊ณ ๋ฌธํ—Œ (9)

  1. F. Dashiell, "Order-Cauchy completions of rings and vector lattices of continuous functions", Canad. J. Math, 32, pp.657~685 (1980)
  2. L. Gillman, "Rings of continuous functions" (1960), Van Nostrand
  3. M. Henriksen, "Quasi F-covers of Tychonoff spaces", Trans. Amer. Math. Soc, 303, pp.779~804 (1987)
  4. M. Henriksen, "Wallman covers of compact spaces", Dissertationes Math, 280, pp.5~31 (1989)
  5. M. Henriksen, "Cozero complemented spaces; When the space of minimal prime ideals of a C(X) is compact", Topology Appl, 141, pp.147~170 (2004)
  6. S. Iliadis, "Absolutes of Hausdorff spaces", Sov. Math. Dokl, 2, pp.295~298 (1963)
  7. C.I. Kim, "Minimal covers and filter spaces", Topology Appl, 72, pp.31~37 (1996)
  8. ๊น€์ฐฝ์ผ, "CLOZ-COVERS OF TYCHONOFF SPACES", ์ˆœ์ˆ˜ ๋ฐ ์‘์šฉ์ˆ˜ํ•™, 18(4), pp.361~368 (2011), ํ•œ๊ตญ์ˆ˜ํ•™๊ต์œกํ•™ํšŒ
  9. J. Porter, "Extensions and Absolutes of Hausdorff spaces" (1988), Springer

๊ด€๋ จ ๋…ผ๋ฌธAI์ถ”์ฒœ

MINIMAL QUASI-F COVERS OF REALCOMPACT SPACES๊น€์ฐฝ์ผ, ์ „์˜์ฃผํ•œ๊ตญ์ˆ˜ํ•™๊ต์œกํ•™ํšŒ ยท ์ด๋ก ์ˆ˜ํ•™๊ณผ ๊ต์ง์ˆ˜ํ•™2016 ยท ์ œ23๊ถŒ ์ œ4ํ˜ธCLOZ-COVERS OF TYCHONOFF SPACES๊น€์ฐฝ์ผํ•œ๊ตญ์ˆ˜ํ•™๊ต์œกํ•™ํšŒ ยท ์ด๋ก ์ˆ˜ํ•™๊ณผ ๊ต์ง์ˆ˜ํ•™2011 ยท ์ œ18๊ถŒ ์ œ4ํ˜ธMinimal Basically Disconnected Covers of P'-spaces๊น€์ฐฝ์ผ, ์ •๊ฐ‘ํ—Œ์˜๋‚จ์ˆ˜ํ•™ํšŒ ยท East Asian Mathematical Journal2014 ยท ์ œ30๊ถŒ ์ œ1ํ˜ธBASICALLY DISCONNECTED COVERS OF THE EXTENSION kX OF A SPACE X๊น€์ฐฝ์ผ์˜๋‚จ์ˆ˜ํ•™ํšŒ ยท East Asian Mathematical Journal2013 ยท ์ œ29๊ถŒ ์ œ1ํ˜ธFILTER SPACES AND BASICALLY DISCONNECTED COVERS๊น€์ฐฝ์ผ, ์ „์˜์ฃผํ•œ๊ตญ์ˆ˜ํ•™๊ต์œกํ•™ํšŒ ยท ์ด๋ก ์ˆ˜ํ•™๊ณผ ๊ต์ง์ˆ˜ํ•™2014 ยท ์ œ21๊ถŒ ์ œ2ํ˜ธฯƒ-COMPLETE BOOLEAN ALGEBRAS AND BASICALLY DISCONNECTED COVERS๊น€์ฐฝ์ผ, ์‹ ์ฐฝํ˜‘๊ฐ•์›๊ฒฝ๊ธฐ์ˆ˜ํ•™ํšŒ ยท ํ•œ๊ตญ์ˆ˜ํ•™๋…ผ๋ฌธ์ง‘2014 ยท ์ œ22๊ถŒ ์ œ1ํ˜ธ

์ด ๊ฐ„ํ–‰๋ฌผ์˜ ๋‹ค๋ฅธ ๋…ผ๋ฌธ (5๊ฑด)

Hilbert 2-class field towers of inert imaginary quadratic function fields์ •ํ™˜์—ฝpp. 79-87Non-tangential half lightlike submanifolds of an indefinite cosymplectic manifold์ง„๋Œ€ํ˜ธpp. 89-101A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES์ง€์€์ˆ™pp. 109-116A GENERALIZATION OF FUZZY SUBSEMIGROUPS IN SEMIGROUPS๋ฐ˜ํฌ์˜, ์œค์ƒ์šฑ, ๊ฐ•๋ฏธ๊ด‘pp. 117-127Properties of hyperholomorphic functions on dual ternary numbers์ •ํ˜„์ˆ™, ์†๊ด‘ํ˜ธpp. 129-136
์›๋ฌธ ๋ณด๊ธฐ