Arpad Szaz

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Questions related from Arpad Szaz

Can diameters be also expressed in terms of surroundings in a metric space?

By Beer [Topologies on Closed and Closed Convex Sets, Kluwer, 1993, p. 28], gaps and excesses can be expressed in terms of the induced surroundings S_{r} = { (x, y) \in X^{2} : d(x,...

last month 1,454 2 View

Have you ever considered continuities of topologies with respect to other ones?

Namely, by using relators (generalized uniformities), this can also be well done. Concerning several reasonable continuity properties of relators with other ones, see the attached Pdf.

26 February 2025 772 2 View

How can one prove a particular statement of D. B. Gauld and others on delta-open sets?

A subset of a topological space is called delta-open if it is the intersection of countably many open sets. D. B. Gauld and others defined a topology on the set X=[0, +infinity[ by using...

22 September 2024 1,914 4 View

Where can I find a proof that the operation given bor(A)=A--int(A) is idempotent?

N. Elez and O. Papaz, [The new operators in topological spaces, Math. Moravica 17 (2013), 63--68] stated this fact without any proof. In the attached pdf, I have been able to worked out...

23 May 2024 6,755 1 View

Can you prove or disprove that in a topological space the set A=C\setminus int(cl(C)) is always meager (nowhere dense)?

Irina Zvina stated the corresponding statement in the proof of Lemma 2.3 [On i-topological spaces: generalization of the concept of a topological space via ideals, Appl. Gen. Top. 7(2006),...

16 January 2024 8,403 11 View

Why are vascular catastrophes more frequent among table tennis players?

Your rigid system did not allow me to formulate my complete question: Why are vascular catastrophes more frequent among table tennis players, than chess or football players? I am not a...

10 December 2023 6,401 0 View

Is there any book containing at least one passage on Volterra spaces?

I could find only one dissertation (by Ballone), and a few papers (not very readable) on Volterra ( spaces. This is a very striking fact, since Volterra spaces are natural generalization of...

22 November 2023 2,744 8 View

Who have forced the Editorial Boards of Mathematical Journals to introduce crazy rigid rules for their possible authors?

The greatest stupidities are the recently introduced Similarity Index and the rule that every Reference Item have to be cited in the Text of the paper. There is also a reqirement for a...

17 November 2023 5,730 3 View

By definition, what is 2/3 ? Is it a set or even a function? How many good answers can be given?

I was testing my students with this question. However, acceptable answers were not given. Two papers of mine help to give the best answer.

16 November 2023 7,160 3 View

Why are editors of modern mathematical journals applying crazy, bureaucratic rules?

Why are editors of modern mathematical journals and publishers applying crazy, bureaucratic rules in additon to very high article processing charges? They are behaving quite similarly to the...

01 January 1970 6,355 2 View