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Results tagged with gn.general-topology
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user 24502
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
0
votes
1
answer
277
views
On the compactness of a certain chain topology [closed]
Let $X$ be a non-empty set and $I$ a collection of some nested subsets of $X$ indexed by a linearly ordered set $(\Lambda,\le)$ such that $I$ always contains the void set $\emptyset$ and the whole set …
- 243
-1
votes
3
answers
520
views
Metric properties for $d:X\times X\times\dotsb X\rightarrow\mathbb R$ [closed]
Let us define $d:X^n\rightarrow\mathbb R$. How can we define metric properties such as symmetry, triangle inequality equivalent property etc for such a function?
- 243
5
votes
1
answer
539
views
Bitopological spaces and algebraic topology
Is it possible to introduce the concept of bitopological spaces such as $(X,T_1,T_2)$ (introduced by J.C.Kelly see Proc. London Math. Soc. (3) 13 (1963) 71–89 MR0143169, J.C. Kelly) in the homotopy th …
- 243