Detecting traffic events and their locations is important for an effective transportation management system and better urban policy making. Traffic events are related to traffic accidents, congestion, parking issues, to name a few. Currently, traffic events are detected through static sensors e.g., CCTV camera, loop detectors. However they have limited spatial coverage and high maintenance cost, especially in developing regions. On the other hand, with Web 2.0 and ubiquitous mobile platforms, people can act as social sensors sharing different traffic events along with their locations. We investigated whether Twitter – a social media platform can be useful to understand urban traffic events from tweets in India. However, such tweets are informal and noisy and containing vernacular geographical information making the location retrieval task challenging. So far most authors have used geotagged tweets to identify traffic events which accounted for only 0.1%-3% or sometimes less than that. Recently Twitter has removed precise geotagging, further decreasing the utility of such approaches. To address these issues, this research explored how ungeotagged tweets could be used to understand traffic events in India. We developed a novel framework that does not only categorize traffic related tweets but also extracts the locations of the traffic events from the tweet content in Greater Mumbai. The results show that an SVM based model performs best detecting traffic related tweets. While extracting location information, a hybrid georeferencing model consists of a supervised learning algorithm and a number of spatial rules outperforms other models. The results suggest people in India, especially in Greater Mumbai often share traffic information along with location mentions, which can be used to complement existing physical transport infrastructure in a cost-effective manner to manage transport services in the urban environment.

https://www.zora.uzh.ch/id/eprint/179196/1/2019_Das_08913679.pdf

Exploring the Potential of Twitter to Understand Traffic Events and Their Locations in Greater Mumbai, India

Let f : X → Y be a closed n-dimensional surjective map of metrizable spaces. It is shown that if Y is a C-space, then: (1) the set of all maps g: X → I n with dim(f × g) = 0 is uniformly dense in C(X, I n ); (2) for every 0 ≤ k ≤ n −1 there exists an F�-subset Ak of X such that dim Ak ≤ k and the restriction f |(X\Ak) is (n−k −1)-dimensional. These are extensions of theorems by Pasynkov and Torunczyk, respectively, obtained for finite- dimensional spaces. A generalization of a result due to Dranishnikov and Uspenskij about extensional dimension is also established.

/pdf/on-dimensionally-restricted-maps-2kxrm80oa2.pdf

On dimensionally restricted maps

Let M be either a topological manifold, a Hilbert cube manifold, or a Menger manifold and let D be an arbitrary countable dense subset of M. Consider the topological group H(M, D) which consists of all autohomeomorphisms of M that map D onto itself equipped with the compact-open topology. We present a complete solution to the topological classification problem for H(M, D) as follows. If M is a one-dimensional topological manifold, then H(M, D) is homeomorphic to ℚ

/pdf/homeomorphism-groups-of-manifolds-and-erdos-space-51pl81suaj.pdf

Homeomorphism groups of manifolds and Erdos space

Transversal intersection formula for compacta

We present some results related to theorems of Pasynkov and Torunczyk on the geometry of maps of finite dimensional compacta

Some mapping theorems for extensional dimension

On linear continuous open surjections of the spaces CP(X)

A class of 1-dimensional spaces is distinguished by special type embeddings in compacta, or a corresponding metric property. In this setting, a simple proof of the Oversteegen-Tymchatyn theorem that the spaces of homeomorphisms of the Sierpiiiski's Carpet and the Menger Universal Curve have dimension < 1 is given.

/pdf/a-metric-condition-which-implies-dimension-le1-29mstlqcti.pdf

A metric condition which implies dimension \le1

In [8] Y. Sternfeld and this author gave a positive answer to the following longstanding open problem: Is the hyperspace (=the space of all subcontinua endowed with the Hausdorff metric) of a 2-dimensional continuum infinite dimensional? This result was improved in [9] where it was shown that for every positive integer numbern a 2-dimensional continuum contains a 1-dimensional subcontiuum with hyperspace of dimension ≥n. And it was asked there: Does a 2-dimensional continuum contain a 1-dimensional subcontinuum with infinite dimensional hyperspace? In this note we answer this question in the positive.

Certain finite dimensional maps and their application to hyperspaces

We give a relatively short proof of the following theorem of Sternfeld: LetX be a compact metric space with dimX ≧ 2, and letX ⊂R
 m be an embedding such that everyf ∈C(X) can be represented as
 
$$f(x_1 ,x_2 ,...,x_m ) = \sum\limits_{i = 1}^m {g_i (x_i ),} (x_1 ,x_2 ,...,x_m ) \in X,g_i \in $$

 Thenm ≧ 2 dimX + 1.

Dimension and superposition of continuous functions

Let X be a compact metric space and let C(X) denote the space of subcontinua of X with the Hausdorff metric. It is proved that every two-dimensional continuum X contains, for every n ≥ 1, a one-dimensional subcontinuum Tn with dim C(Tn) ≥ n. This implies that X contains a compact one-dimensional subset T with dim C(T ) =∞.

/pdf/hyperspaces-of-two-dimensional-continua-1ztlg4sxkv.pdf

Hyperspaces of two-dimensional continua

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