## Abstract Preordered topological spaces for which the order has a closed graph form a topological category. Within this category we identify the MacNeille completions (coinciding with the universal initial completions) of five monotopological subcategories, namely those of the __T__~0~(__T__~1~,
A dual adjointness on partially ordered topological spaces
โ Scribed by Tae Ho Choe
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 494 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We develop some abstract critical point theory in order to prove that boundary value problems like the model problem have infinitely many sign changing solutions ยฑ u k , k ยฅ N, which are not comparable, that is, u k -u l and u k +u l change sign for k ] l. We also show that there are no subsolution
supfxcompactness family S of su (S. 1) every cover of x y elements of S as a two-elemen and ' (5.2) if SO U S1 = X = SO Lj S, with Si E S for i = 0, 1 9 2, t S, C S2 or Sz C S, (i.e., S, and S, are conaparable by inclusior!). 2.2. A topological space X is 2-cc0m~ct iff there exists an which genera